因式分解(x+y)²-16(x-y)²

问题描述:

因式分解(x+y)²-16(x-y)²

(x+y)²-16(x-y)²
=(x+y)²-[4(x-y)]²
=[(x+y)+4(x-y)][(x+y)-4(x-y)]
=(5x-3y)(5y-3x)