分解因式:(x²+y²-1)²-4x²y²

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分解因式:(x²+y²-1)²-4x²y²
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分解因式:(x²+y²-1)²-4x²y²
分解因式:(x²+y²-1)²-4x²y²

分解因式:(x²+y²-1)²-4x²y²
:(x²+y²-1)²-4x²y²
=(x²+y²-1+2xy)(x²+y²-1-2xy)
=[(x+y)²-1][(x-y)²-1]
=(x+y+1)(x+y-1)(x-y+1)(x-y-1)

(x²+y²-1)²-4x²y²
=(x²+y²-1)²-(2xy)²
=(x²+y²-1+2xy)(x²+y²-1-2xy)
=[(x+y)²-1][(x-y)²-1]
=(x+y+1)(x+y-1)(x-y+1)(x-y-1)