# Chapter R - Section R.4 - Factoring Polynomials - R.4 Exercises: 39

2$a^{2}$(4a - b)(3a + 2b)

#### Work Step by Step

1. Factor out GCF from each term (2$a^{2}$): 2$a^{2}$(12$a^{2}$ + 5ab - 2$b^{2}$) 2. Factor expression inside parentheses: 2$a^{2}$(4a - b)(3a + 2b) 3. Check: 2$a^{2}$(4a - b)(3a + 2b) = 2$a^{2}$(12$a^{2}$ + 5ab - 2$b^{2}$) = 24$a^{4}$ + 10$a^{3}$b - 4$a^{2}b^{2}$

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