快答因式分解(x^2+y^2-1)^2-4x^2y^2

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快答因式分解(x^2+y^2-1)^2-4x^2y^2快答因式分解(x^2+y^2-1)^2-4x^2y^2快答因式分解(x^2+y^2-1)^2-4x^2y^2(x^2+y^2-1)^2-4x^2y

快答因式分解(x^2+y^2-1)^2-4x^2y^2
快答因式分解
(x^2+y^2-1)^2-4x^2y^2

快答因式分解(x^2+y^2-1)^2-4x^2y^2
(x^2+y^2-1)^2-4x^2y^2
=(x^2+y^2-1-2xy)(x^2+y^2-1+2xy)
=((x-y)^2-1)((x+y)^2-1)
=(x-y-1)(x-y+1)(x+y-1)(x+y+1)

(X+Y-1)(X+Y+1)(X-Y-1)(X-Y+1)