(x+2y)²-x²-2xy

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(x+2y)²-x²-2xy

(x+2y)²-x²-2xy
(x+2y)²-x²-2xy

(x+2y)²-x²-2xy
(x+2y)^2-x(x+2y)
=(x+2y)(x+2y-x)
=2y(x+2y)