Question

*help please fill in the blank* Complete the proof of the polynomial identity.

Answer 1

`x^4 +2x^2y^2+y^4\\\\2x^4+2x^2y^2+2y^4\\2(x^4+x^2y^2+y^4)`

Explanation:

The proof of the polynomial identity shows that the left side equals the right side. To find what comes next, simplify the left side using order of operations (PEMDAS) by doing the exponent first, combing like terms and then simplifying.

`(x^2+y^2)^2` simplifies to

`x^4 +2x^2y^2+y^4\\\\2x^4+2x^2y^2+2y^4\\2(x^4+x^2y^2+y^4)`