💥How to Differentiate With the Natural Logarithmic Function lnx💥 [Worked Examples] Calculus
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In this worked example I show you how to integrate (antidifferentiate) problems involving the Natural Logarithmic Function lnx.
In this video I show you the basic rule for differentiating the natural logarithmic function lnx and also how the Chain rule applies with this function. I then work through, step by step, several examples including examples with the product and quotient rules for differentiation. Along the way, I point out common errors that I've see students make and well as simplification mistakes
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, or AP Statistics that you'd like me to do a video on.
Connect with me on other Social Media:
Facebook: https://www.facebook.com/mrantonuccimath
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Gab: https://gab.com/MrAntonucciMath
YouTube: http://www.youtube.com/channel/UCuDzkFsY65QJGDO3PuvqkXg
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❓Where❓ Does the Derivative of the Natural Logarithmic Function Come From 💥PROOF!!!💥 [Calculus]
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In this quick video I show you one way to prove what the derivative of the natural logarithmic function is.
Have you ever wondered where does the the derivative of the Natural Logarithmic function come from. I show you one proof (the are other ways to prove it however).
Sometimes seeing where something comes from is extremely helpful in developing your understanding of the topic. Also, this simple, but beautiful proof displays the unity of mathematics.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, or AP Statistics that you'd like me to do a video on.
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Gab: https://gab.com/MrAntonucciMath
YouTube: http://www.youtube.com/channel/UCuDzkFsY65QJGDO3PuvqkXg
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💥How to Integrate the Natural Exponential Function e^x💥 [Worked Examples] Calculus
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In this worked example I show you how to integrate the Natural Exponential Function e^x. (Also antidiffertiation for e^x applies as well.)
In this video I show you the basic rule for integrating (antidifferentiating) the natural exponential function e^x and also how the substitution applies with this integrals involving e^x. I then work through several examples step by step including an example of a definite integral involving e^x. Along the way, I point out common errors that I've see students make and well as simplification mistakes
Hope this helps you as you antidifferentiate and integrate problems involving e^x.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, or AP Statistics that you'd like me to do a video on.
Connect with me on other Social Media:
Facebook: https://www.facebook.com/mrantonuccimath
Instagram: https://www.instagram.com/mrantonuccimath/
Gab: https://gab.com/MrAntonucciMath
YouTube:http://www.youtube.com/channel/UCuDzkFsY65QJGDO3PuvqkXg
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💥How to Differentiate With the Natural Exponential Function 😲 with EXAMPLES Calculus
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In this worked example I show you how to differentiate the Natural Exponential Function.
In this video I show you the basic rule for differentiating the natural exponential function and also how the Chain rule applies with this function. I then over several examples including examples with the product and quotient rules for differentiation. Along the way, I point out common errors that I've see students make and well as simplification mistakes
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, or AP Statistics that you'd like me to do a video on.
Connect with me on other Social Media:
Facebook: https://www.facebook.com/mrantonuccimath
Instagram: https://www.instagram.com/mrantonuccimath/
Gab: https://gab.com/MrAntonucciMath
YouTube: http://www.youtube.com/channel/UCuDzkFsY65QJGDO3PuvqkXg
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How to Graph Exponential Functions by Hand (No Calculator Needed)\Worked Example Algebra
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In this video I show you everything you need to know about how to Graph Exponential Functions by Hand. That's right No Calculators Needed for the methods I show you. Whether you're in Algebra, Algebra 2, Geometry or Trig, this method makes it easy. I show you the exact steps and strategy you need to know to Graph Exponential Functions By Hand. Also, I show you exactly how to determine the y-intercept of the graph as well as its domain and range. These techniques I show you in this worked example will ensure that you get the right answer every time and that your graphs look good. I also point out common mistakes, misconceptions, and errors that I've seen students make in the classroom and show you how to avoid them. Also, we briefly touch on exponential growth and exponential decay and how to identify which your function is both from its equation and graph.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, Probability and Statistics, or AP Statistics that you'd like me to do a video on.
Connect with me on other Social Media:
Facebook: https://www.facebook.com/mrantonuccimath
Instagram: https://www.instagram.com/mrantonuccimath/
Gab: https://gab.com/MrAntonucciMath
YouTube: http://www.youtube.com/channel/UCuDzkFsY65QJGDO3PuvqkXg
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How to Multiply Radical Expressions (Square Roots)\Algebra [Worked Example 📝]
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In this video I show you everything you need to know about how to Multiply Radical Expressions involving Square Roots. Whether you're in Algebra, Algebra 2, Geometry or Trig, this method WORKS. I show you the exact steps and strategy you need to know to Multiply Square Root Expressions. These techniques I show you in this worked example will ensure that you get the right answer. I also point out common mistakes, misconceptions, and errors that I've seen students make in the classroom and show you how to avoid them.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, Probability and Statistics, or AP Statistics that you'd like me to do a video on.
Connect with me on other Social Media:
Facebook: https://www.facebook.com/mrantonuccimath
Instagram: https://www.instagram.com/mrantonuccimath/
Gab: https://gab.com/MrAntonucciMath
YouTube: http://www.youtube.com/channel/UCuDzkFsY65QJGDO3PuvqkXg
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How to Add and Subtract Radical Expressions (Square Roots)\Algebra [Worked Example📝]
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In this video I show you everything you need to know about how to Add and Subtract Radical Expressions involving Square Roots. Whether you're in Algebra, Algebra 2, Geometry or Trig, this method WORKS. I show you the exact steps and strategy you need to know to Add and Subtract Square Root Expressions. The two keys are to make sure each radical is fully simplified first and then identify the like terms. Over the years I've seen students make the same two mistakes over and over again. They don't fully simplify the radical and they don't know how to identify like terms involving square roots. I show you how to NOT make these same mistakes. These techniques I show you in this worked example will ensure that you get the right answer. I also point out common mistakes, misconceptions, and errors that I've seen students make in the classroom and show you how to avoid them.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, Probability and Statistics, or AP Statistics that you'd like me to do a video on.
Connect with me on other Social Media:
Facebook: https://www.facebook.com/mrantonuccimath
Instagram: https://www.instagram.com/mrantonuccimath/
Gab: https://gab.com/MrAntonucciMath
YouTube: http://www.youtube.com/channel/UCuDzkFsY65QJGDO3PuvqkXg
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What's the Difference Between Position, Displacement, and Total Distance Traveled??? Explained!!!
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In this video I explain everything you need to know to be able to understand the differences between position, Displacement, and Total Distance Traveled. I walk you through an example to show you how to calculate the Position of an object, its Displacement, and the Distance Traveled. I show you what to do with the initial position and how it factors into finding the position of the object. Additionally, I show you a strategy for how to do these kinds of problems by hand and give you a graphical understanding of the difference between displacement and total distance traveled. I also point out common mistakes, misconceptions, and errors that I've seen student make in the classroom and show you how to avoid them.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, Probability and Statistics, or AP Statistics that you'd like me to do a video on.
Connect with me on other Social Media:
Facebook: https://www.facebook.com/mrantonuccimath
Instagram: https://www.instagram.com/mrantonuccimath/
Gab: https://gab.com/MrAntonucciMath
YouTube: https://www.youtube.com/channel/UCuDzkFsY65QJGDO3PuvqkXg
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How to Rationalize the Denominator with Square Roots Everything you Need to Know [Worked Example]
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In this video I show you everything you need to know about how to Rationalize the Denominator with Square Roots. Whether you're in Algebra, Algebra 2, Geometry or Trig, this method WORKS. I show you the exact steps and strategy you need to know to Rationalize the denominator. Plus, I give you the three things to check to be sure you're radical expression is completely simplified. These techniques I show you in this worked example will ensure that you get the right answer. Be sure to check out my explanation of what a conjugate, when to use it, and how to use it. I also point out common mistakes, misconceptions, and errors that I've seen student make in the classroom and show you how to avoid them.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, Probability and Statistics, or AP Statistics that you'd like me to do a video on.
Connect with me on other Social Media:
Facebook: https://www.facebook.com/mrantonuccimath
Instagram: https://www.instagram.com/mrantonuccimath/
Gab: https://gab.com/MrAntonucciMath
YouTube: http://www.youtube.com/channel/UCuDzkFsY65QJGDO3PuvqkXg
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🙋♂️Welcome to My Channel❗❗❗ | Mr. Antonucci Math [Intro Video] 💥Watch This First💥
Mathletes, Math-Ninjas and Mathtitioners...Welcome to my channel!!! 👉 Mr. Antonucci Math
Please subscribe and share this channel with anyone you think would benefit from it.
Be sure to watch this intro video first as I explain a lot about this channel, what's coming up in the near future, as well as some of my story (Which might surprise you..).
What can you expect on this channel?
I make math videos that make math simple. On this channel you can expect to find videos from all levels of math from Algebra through AP Calculus. Right now I'm working on building out Algebra and Calculus tutorials. I'm organizing everything into sections and playlists so that you can easily find what you're looking for. Additionally, I believe humor is a big factor in learning. I mean you gotta have fun with what you're doing, right?!?! So I occasionally make math meme videos as well.
Soon I'll be adding other content including:
~TI-83 and TI-84 Calculator Tutorials
~DESMOS Tutorials
~Algebra 2, Trigonometry, PreCalculus
~Math Tricks, Tips, and Mental Math
As for me, I've been teaching math for over 15 years. Mostly at the High School level, but I've taught or tutored everything from elementary math up through Calculus 2. My favorite subjects to teach are Algebra and Calculus.
One thing that might surprise you (🚨Spoiler Alert🚨) is that I HATED math while in High School. To see how I ended up becoming a math teacher you'll have to watch this intro video!
IF you are a math teacher and you like my videos, feel free to use them in your teaching and if you have an online class you can even embed them in your class website.
Make sure you connect with me on the other platforms as I share additional content on them:
Instagram: https://www.instagram.com/mrantonuccimath/
Facebook: https://www.facebook.com/mrantonuccimath
Gab: https://gab.com/MrAntonucciMath
YouTube: https://www.youtube.com/channel/UCuDzkFsY65QJGDO3PuvqkXg
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How To Simplify Radical Expressions: Square Roots [Worked Example] Algebra-Step by Step
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In this video I show you how to simplify radical expressions involving Square Roots. I walk you through several worked examples, step by step, pointing out all you need to know in order to successfully simplify expressions involving square roots. I also go over the product and quotient properties for square roots and a few special cases that many students (and even some teachers) overlook. Additionally, I have several examples that involve variables as well.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, Probability and Statistics, or AP Statistics that you'd like me to do a video on.
Connect with me on other Social Media:
Facebook: https://www.facebook.com/mrantonuccimath
Instagram: https://www.instagram.com/mrantonuccimath/
Gab: https://gab.com/MrAntonucciMath
Rumble: https://rumble.com/c/c-671265
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How to Graph Square Root Functions Using Transformations [Worked Example] Algebra
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In this video I show you how to graph a square root function using its transformations. I walk you through how to discover the transformations of square root functions using Desmos to compare the transformed graph to the parent function. Then I also walk you through how to determine the Domain and Range of the Transformed function and also a strategy for determining which order to make the transformations.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, Probability and Statistics, or AP Statistics that you'd like me to do a video on.
Connect with me on other Social Media:
Facebook: https://www.facebook.com/mrantonuccimath
Gab: https://gab.com/MrAntonucciMath
YouTube: https://www.youtube.com/channel/UCuDzkFsY65QJGDO3PuvqkXg
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Where Does the Quadratic Formula Come From? (PROOF)|Algebra [Deriving the Quadratic Formula]
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In this video I show you how to derive the Quadratic Formula. The proof for the Quadratic Formula is derived by completing the square on the general form of a quadratic equation. I show exactly where the quadratic formula comes from. Many teachers just give you the formula and show you how to use it, but it's always good to know how to go about deriving the quadratic formula.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, Probability and Statistics, or AP Statistics that you'd like me to do a video on.
Connect with me on other Social Media:
Facebook: https://www.facebook.com/mrantonuccimath
Gab: https://gab.com/MrAntonucciMath
YouTube: https://www.youtube.com/channel/UCuDzkFsY65QJGDO3PuvqkXg
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How Solve a Quadratic by Completing the Square Leading Coefficient is NOT 1 [Worked Example] Algebra
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In this follow up video to Completing the Square (https://youtu.be/Z1qrF_d9Gx4) I show you how to Solve a Quadratic Equation by Completing the Square when the Leading Coefficient is NOT 1. Not only do I work through a specific example, but I also give you a strategy to follow for Completing the Square and solving quadratic equations by completing the square. Additionally, I explain the difference between an exact solution and an approximate solution and give some tips for when you solve these kinds of problems.
Also in this example I point out a few common misconceptions that students have when Solving Quadratic Equations by Completing the Square as well as common errors that I've seen in the classroom.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, Probability and Statistics, or AP Statistics that you'd like me to do a video on.
Connect with me on other Social Media:
Facebook: https://www.facebook.com/mrantonuccimath
Gab: https://gab.com/MrAntonucciMath
YouTube: https://www.youtube.com/channel/UCuDzkFsY65QJGDO3PuvqkXg
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How to Solve a Quadratic Equation by Completing the Square [Worked Example] Algebra
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In this video I show you how to Complete the Square when the Leading Coefficient is 1. Not only do I work through a specific example, but I also give you a strategy to follow for Completing the Square and solving quadratic equations by completing the square. Additionally, I explain the difference between an exact solution and an approximate solution.
Also in this example I point out a few common misconceptions that students have when Solving Quadratic Equations by Completing the Square as well as common errors that I've seen in the classroom.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, Probability and Statistics, or AP Statistics that you'd like me to do a video on.
Connect with me on other Social Media:
Facebook: https://www.facebook.com/mrantonuccimath
Gab: https://gab.com/MrAntonucciMath
YouTube: https://www.youtube.com/channel/UCuDzkFsY65QJGDO3PuvqkXg
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Funny Math Memes 002
Here's another installment of a Math Meme compilation.
I do hope these funny math memes brought a smile to you face. Some of these really ring true!
Hope you enjoy it!
Which one do you relate to the most?
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Transformations of Quadratic Functions [Worked Examples] Algebra
In this video I show you how to identify the transformations of the graph of a quadratic function. Not only do I work through a specific example, but I also give you a strategy to follow for this kind of problem. Additionally, I show you the order to do the transformations if you need to graph a quadratic function based off of the parent function f(x)=x^2.
Also in this example I point out a few common misconceptions that students have with graphing Quadratic Functions using transformations as well as common errors that I've seen in the classroom.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, Probability and Statistics, or AP Statistics that you'd like me to do a video on.
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How to Solve Differential Equations Using Separation of Variables [Worked Example] Calculus
In this worked example I show you how to use the method of Separation of Variables to solve a Differential Equations
In this video I review some basic strategies for solving differential equations using separation of variables including how to know if you can use this method and how to set it up so that separation of variables can be used. I then run through an example and point out important details along the way that students often overlook or get wrong.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, or AP Statistics that you'd like me to do a video on.
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Solving for the Unknown Integral Integration by Parts [Worked Example] Calculus
In this worked example I show you how to solve for the unknown integral using Integration by Parts.
One of the situations that can arise with integration by parts is that repeated use can begin to go in circles. I show you what to do in this situation so that you can still find the integral
I also give you a strategy for how to set up your problems so that you can do integration by parts correctly and keep track of all the negatives and distributions that can result.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, or AP Statistics that you'd like me to do a video on.
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How to Do Repeated Use of Integration by Parts [Worked Example] Calculus
In this worked example I show you how to do repeated use of Integration by Parts.
I also give you a strategy for how to set up your problems so that you can do integration by parts correctly and keep track of all the negatives and distributions that can result.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, or AP Statistics that you'd like me to do a video on.
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How to Do Integration by Parts [Worked Example] Calculus
In this worked example I show you how to do Integration by Parts.
We first start off with showing how the integration by parts formula is actually derived from the product rule from derivatives. I also give you a strategy for how to set up your problems so that you can do integration by parts correctly.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, or AP Statistics that you'd like me to do a video on.
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How to Graph a Quadratic Function by Hand [Worked Example] Algebra
In this video I show you how to graph a quadratic function by hand. Not only do I work through a specific example, but I also give you a strategy to follow for this kind of problem. Additionally, I show you how to determine the Vertex of the Parabola, the Axis of Symmetry as well as the y-intercept. I also explain how to know if the parabola should open upward or downward and whether is has a Maximum or a Minimum. This way you can be sure that you're graphing the Quadratic Function correctly.
Also in this example I point out a few common misconceptions that students have with graphing Quadratic Functions by Hand as well as common errors that I've seen in the classroom.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, Probability and Statistics, or AP Statistics that you'd like me to do a video on.
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How to Factor a Polynomial Completely: A Strategy that WORKS! [Worked Example] Algebra
In this video I show you how to factor polynomials completely. Not only do I work through a specific example, but I also give you a strategy to follow when asked to factor a polynomial that has multiple steps. This way you can be sure that you get the right answer.
Also in this example I point out a few common misconceptions that students have with factoring as well as common errors that I've seen in the classroom.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, Probability and Statistics, or AP Statistics that you'd like me to do a video on.
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How to do U Substitution with Indefinite Integrals [Worked Example] Calculus
In this video I show you step by step how to U-Substitution with an Indefinite Integral
In this worked example I point out several common issues students have with using U-Substitution. In particular, I show you where the U-Substitution method comes from and how it relates to the Chain Rule for Differentiation.
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, College Calculus, Probability and Statistics, or AP Statistics that you'd like me to do a video on.
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How to Factor Difference of Squares a^2-b^2 [Worked Example] Algebra
In this video I show you how to factor a binomials that are in the Difference of Squares form: a^2-b^2
In these 3 worked examples I show you the easiest method for factoring these kinds of binomials as well as where the formula comes from.
Make sure you stick around for the 3rd example as I work through an example that doesn't quite fit the mold of Difference of Squares
Hope this helps you.
Please let me know in the comments if you have any problems from Algebra I, Algebra II, Pre-Calculus, Trigonometry, Calculus, AP Calculus AB, AP Calculus BC, Probability and Statistics, or AP Statistics that you'd like me to do a video on.
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