Question

How do I prove that (x^2 +2xy + y^2) = (x + y) is true

Answer 1

see explanation

Explanation:

Your question should be

Prove that x² + 2xy + y² = (x + y)²

So

(x + y)² = (x + y)(x + y)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + y) + y(x + y) ← distribute parenthesis

= x² + xy + xy + y² ← collect like terms

= x² + 2xy + y²

Then

x² + 2xy + y² = (x + y)²

Answer 2

Use the given functions to set up and simplify

.

x=−y+1

x=−y

Explanation: