因式分解(x+y)²-x²

问题描述:

因式分解(x+y)²-x²
另外一提:(2m-n)²-n²


(x+y)²-x²
=(x+y+x)(x+y-x)
=y(2x+y)
(2m-n)²-n²
=(2m-n+n)(2m-n-n)
=(2m)(2m-2n)
=4m(m-n)