因式分解(x²-y)²-(1-y)²

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因式分解(x²-y)²-(1-y)²
因式分解(x²-y)²-(1-y)²

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)

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