Answer
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$a^{2}b^{2}$
