Question

计算：（x|x^2－xy)^﹣3×（﹣x^2－2xy＋y^2)﹣2÷（x^2|xy－y^2)^2＝

Answer 1

[x/(x^2-xy)]^(-3)×[(x^2-2xy+y^2)/(-xy)]^(-2)÷[x^2/(xy-y^2)]^2

=[1/(x-y)]^(-3)×[(x-y)^2/(xy)]^(-2)÷[x^2/y(x-y)]^2

=(x-y)^3×[(xy)/(x-y)^2]^2×[y(x-y)/x^2]^2

=(x-y)^3×(xy)^2/(x-y)^4×y^2(x-y)^2/x^4

=(x-y)*y^4/x^2

=y^4/x-y^5/x^2