Question

计算(5x/(x^3-x^2y))×(-x^2y/5)^4×(1/x-1/y)^3 化简结果

Answer 1

[5XY/(X^3-X^2Y)]^4*(-X^2Y^4/5)*(1/X-1/Y)^3

=[5XY/X^2(X-Y)]^4*X^2(-Y^4/5)*(1/X-1/Y)^3

=[5XY/(X-Y)]^4*(-Y^4/5)*(1/X-1/Y)^3

=(XY)^4[5/(X-Y)]^4*(-Y^4/5)*[(Y-X)/(XY)]^3

=XY[5/(X-Y)]^4*(-Y^4/5)*[(Y-X)]^3

=625XY/(X-Y)^4*(Y^4/5)*(X-Y)^3

=625XY/(X-Y)*(Y^4/5)

=125XY^5/(X-Y)