Answer
$-x^2y^3(5x-2y)(x-y)$.
Work Step by Step
The given expression is
$=-5x^4y^3+7x^3y^4-2x^2y^5$
Factor out common term $-x^2y^3$.
$=-x^2y^3(5x^2-7xy+2y^2)$
Rewrite term $-7xy$ as $-5xy-2xy$.
$=-x^2y^3(5x^2-5xy-2xy+2y^2)$
Group terms.
$=-x^2y^3[(5x^2-5xy)+(-2xy+2y^2)]$
Factor from each group.
$=-x^2y^3[5x(x-y)-2y(x-y)]$
Factor out $(x-y)$.
$=-x^2y^3(x-y)(5x-2y)$.
Rearrange.
$=-x^2y^3(5x-2y)(x-y)$.
