Answer
$12x^{2}(x-y)(2x+5y)$
Work Step by Step
$24x^{4}+36x^{3}y-60x^{2}y^{2}$
1. Factor the expression by taking $12x^{2}$:
$12x^{2}(2x^{2}+3xy-5y^{2})$
2. Write 3xy as a sum or difference:
$12x^{2}(2x^{2}+5xy-2xy-5y^{2})$
3. Factor out x and -y from the expression:
$12x^{2}(x(2x+5y)-y(2x+5y))$
4. Factor our 2x+5y from the expression to get your answer:
$12x^{2}(x-y)(2x+5y)$
