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# 04.08 Polynomial Identities and Proofs

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## Bethany Vasquez

on 20 April 2014

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#### Transcript of 04.08 Polynomial Identities and Proofs

04.08 Polynomial Identities and Proofs

End!
Awesome New Polynomial Identity

Today you will be the first to view this new reliable and easy polynomial identity.

(x+y)(x+y)= x^2 + 2xy + y^2

Look's really complicated right, It really isn't.
I'm about to show you step by step to get to point A to point B.

Algebraic Proof

First we have to get from (x+y)(x+y) to (x+y)(x+y)= x^2 + 2xy + y^2 and I will show you how....

1. First you have to distribute (x+y)(x+y)
which gives you (x+y)(x+y) = x^2 +xy +xy +y^2

2. Now you have to combine alike terms

3. Which will give you the
polynomial identity

(x+y)(x+y)= x^2 + 2xy + y^2

See easy.
By Bethany Vasquez
Numerical Proof
Now to show you that this polynomial identity is absolutely true we will add numbers in for the variables. X=5 Y=6

(5+6)(5+6)= 5^2 + 2(5)(6) + 6^2
(11) (11) = 25+ 60+ 36
121= 121

Since they both come out to 121 that means this polynomial identity truly works.

You see I wasn't lying when I said It was reliable and easy.
Now all you have to do is tell everyone about this amazing new polynomial identity to help it become the next big thing.
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