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# 4.08 Algebra 2

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## Destiny Pullen

on 16 February 2016

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#### Transcript of 4.08 Algebra 2

How can polynomial identities be proven?
Start with the un–simplified side, (x+y)2
The expression (x+y)2 can be re–written as (x+y)(x+y).
The expression (x+y)(x+y) can be multiplied using the Distributive Property. That results in x2+xy+xy+y2.
The expression x2+xy+xy+y2 can be simplified by adding the middle terms. This results in x2+2xy+y2. This proves that (x+y)2=x2+2xy+y2.
What can polynomial identities apply to beyond just polynomials?

Polynomial identities apply to more than just polynomials. Replacing the variables with numbers can help prove numerical relationships as well.
Thank you!
Destiny Pullen 4.08 Algebra 2 Honors Assignment
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