# Chapter R - Section R.4 - Factoring Polynomials - R.4 Exercises: 16

(a + 3)(5$a^{2}$ + 31a + 46)

#### Work Step by Step

1. The GCF of 5$(a + 3)^{3}$, -2(a + 3), and $(a + 3)^{2}$ is (a + 3). 2. Factor out the GCF. (a + 3)(5$(a + 3)^{2}$ - 2 + (a + 3)) 3. Simplify the expression in parentheses. (a + 3)(5($a^{2}$ + 6a + 9) - 2 + a + 3) = (a + 3)(5$a^{2}$ + 30a + 45 - 2 + a + 3) = (a + 3)(5$a^{2}$ + 31a + 46)

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