(x-y)^2+4xy-y^2因式分解

问题描述:

(x-y)^2+4xy-y^2因式分解

(x-y)²+4xy-y²=﹙x+y﹚²-y²=﹙x+y-y﹚﹙x+y+y﹚=x﹙x+2y﹚.

x²-2xy+y²+4xy-y²
=x²+2xy
=x(x+2y)

(x-y)^2+4xy-y^2
=x²-2xy+y²+4xy-y^2
=x²+2xy
=x(x+2y)