(x^2 y^2+1)^2-4x^2 y^2如何因式分解
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(x^2 y^2+1)^2-4x^2 y^2如何因式分解
(x^2 y^2+1)^2-4x^2 y^2如何因式分解
(x^2 y^2+1)^2-4x^2 y^2如何因式分解
(x^2 y^2+1)^2-4x^2 y^2
=
(x^2 y^2+1-2xy)(x^2 y^2+1+2xy)
=(xy-1)^2(xy+1)^2
用平方差公式
(x^2 +y^2-【1?】)^2-4x^2 y^2
=(x^2+x^2-1+2xy)(x^2+x^2-1-2xy)
=[(x+y)^2-1][(x-y)^2-1]
=(x+y-1)(x+y+1)(x-y-1)(x-y+1)
将x^2y^2看成a容易理解