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提取公因式法1.(x-2)^-x+22.x^2y(x-y)-xy^2(y-x)

分类: 作业答案 • 2022-02-26 09:00:37
问题描述：

提取公因式法
1.(x-2)^-x+2
2.x^2y(x-y)-xy^2(y-x)

答

=(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)

答

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)

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