分解因式(x+y)方+4(x-y)方-4(x方-y方)

问题描述:

分解因式(x+y)方+4(x-y)方-4(x方-y方)

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