# Chapter R - Algebra Reference - R.2 Factoring - R.2 Exercises: 20

$12x^{2}(x-y)(2x+5y)$

#### 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: $12x^{2}(x-y)(2x+5y)$

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