Factoring an expression involves rewriting the expression in simplier formThe factored expression of [tex]5xy^3 + 15x^3y^2 - 30x^2y^2[/tex] is [tex]5xy^2(y + 3x^2 - 6x)[/tex]How to factor the expressionThe expression is given as:[tex]5xy^3 + 15x^3y^2 - 30x^2y^2[/tex]Factor out 5x from the expression[tex]5x(y^3 + 3x^2y^2 - 6xy^2)[/tex]Factor out y^2 from the expression[tex]5xy^2(y + 3x^2 - 6x)[/tex]Hence, the factored expression of [tex]5xy^3 + 15x^3y^2 - 30x^2y^2[/tex] is [tex]5xy^2(y + 3x^2 - 6x)[/tex]Read more about factorized expressions at: