(x^2 y^2+1)^2-4x^2 y^2如何因式分解

问题描述:

(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