(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