化简 3x(x^2-x-1)-(x+1)(3x^-x) X^3(x-y)+x(y-x)

问题描述:

化简 3x(x^2-x-1)-(x+1)(3x^-x) X^3(x-y)+x(y-x)

3x(x^2-x-1)-(x+1)(3x^2-x)
=3x^3-3x^2-3x-3x^3+x^2-3x^2+x
=-5x^2-2x
x^3(x-y)+x(y-x)
=x^3(x-y)-x(x-y)
=x(x-y)(x^2-1)
=x(x-y)(x+1)(x-1)