Prove that (x+y) whole power 2 – (x-y)² = 4xy. – InterviewSolution

1.

Prove that (x+y) whole power 2 – (x-y)² = 4xy.

Answer»

(x+y)^2-(x-y)^2=4xy

x^2+2xy+y^2-(x^2-2xy+y^2)=4xy

x^2+2xy+y^2-x^2+2xy-y^2=4xy

x^2-x^2+2xy+2xy+y^2-y^2=4xy

4xy=4xy PROVED!

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