因式分解(x²-y)²-(1-y)²

问题描述:

因式分解(x²-y)²-(1-y)²

(x²-y)²-(1-y)²
=[(x²-y+(1-y)][(x²-y-(1-y)]
=(x²-y+1-y)(x²-y-1+y)
=(x²-2y+1)(x²-1)
=(x²-2y+1)(x+1)(x-1)