分解因式：（x²+y²-1）²-4x²y²
来源：学生学帮网 编辑：学帮网 时间：2024/06/02 14:12:09
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)