Question

How to solve (x-y)^2 + (x^2+2xy+y^2)

Please show work! Thanks!

Answer 1

(x-y)^2 + (x^2+2xy+y^2) = 2x² + 2y²

Explanation:

We have : (x-y)² + (x²+2xy+y²)

So : ( x - y )( x - y ) + ( x² + 2 xy + y² )

So : x ( x - y ) - y ( x - y ) + ( x² + 2 xy + y² )

So : x² - xy - y ( x - y ) + ( x² + 2 xy + y² )

So : 2x² + 2y²

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