Answer
(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)
