# Expand and Simplify the Difference of Squares

## Transcript

What I would do is I’ll do that times the big bracket and that times the big bracket so if I separate it I’ll get negative a times a plus b plus b times a plus b and just expand it guys,

negative a times a is negative a squared, negative a times b is negative ab again be careful with the signs negative positive makes a negative okay and then b times a is ab and b times b is b squared and have a look guys we’ve got like terms again we’ve got ab here and ab here they are common aren’t they but what is negative ab plus ab what’s negative one plus one? Zero

So negative ab plus ab is zero ab which is just zero so they actually just cancel out we can just like put a cross through them so we just have negative a squared plus b squared so we do a times four minus a, four times four minus a, it’s the same thing so a times four minus a plus four times 4 minus a expand it out a times 4 is 4a that one is a squared but negative 4 times 4 is 16, 4 times negative a is negative 4a any like terms you can see?

We’ve got a 4a and a negative 4a here they both have a so those are like terms and we don’t have any other like terms what’s four minus four? Zero so we have zero a which is just zero okay so they cancel out so we just have negative a squared plus 16 left okay I really like it when they cancel out don’t they.

Discover more enlightening videos by visiting our YouTube channel!

### Related Articles

Simplifying Algebraic Fractions involving Quadratic and Linear Terms: Difference of Squares As an experienced mathematics tutor, I have noticed that many students struggle with simplifying…

## Math Made Easy: Volumes by Cross Sections Simplified

Welcome to the world of mathematics, where complex calculations often seem daunting. You’re not alone if you’ve ever scratched your head over finding the volume…

## Breaking Down Barriers in Algebra with Monic Quadratics – +

Transcript Again I’m going to put x and x on the left-hand side because again x times x is definitely x squared. Now 3, 3…

## Induction Made Simple: The Ultimate Guide

“Induction Made Simple: The Ultimate Guide” is your gateway to mastering the art of mathematical induction, demystifying a powerful tool in mathematics. This ultimate guide…

## Algebraic Fractions Made Easy: Simplify Like a Pro 2

Algebraic Fractions Demystified: Simplify by Difference of Squares and Quadratic Factorise As an experienced mathematics tutor, I have encountered numerous students who struggle with simplifying…