Question

提取公因式法

1.(x-2)^-x+2

2.x^2y(x-y)-xy^2(y-x)

要详细的过程

Answer 1

1.(x-2)²-x+2
=（x-2)²-(x-2)
=(x-2)(x-2-1)
=(x-2)(x-3)

2.x²y(x-y)-xy²(y-x)
=x²y(x-y)+xy²(x-y)
=xy(x-y)(x+y)

Answer 2

=(x-2)^-(x-2)

=(x-2)(x-1)

x(x-y)(X^2-xy-y^2)-x^2y(y-x)
=x(x-y)(x²-xy-y²)+x(x-y)xy
=x(x-y)(x²-xy-y²+xy)
=x(x-y)(x²-y²)