Answer:
D. 4a³ + 24ab² - 25b³
Step-by-step explanation:
Simplify the given polynomial expression to find its equivalent as follows:
(2a - 3b)(2a² + 6b²) + (6a²b + 12ab² - 7b³)
2a(2a² + 6b²) -3b(2a² + 6b²) + (6a²b + 12ab² - 7b³)
4a³ + 12ab² - 6a²b - 18b³ + 6a²b + 12ab² - 7b³
Collect like terms
4a³ - 6a²b + 6a²b + 12ab² + 12ab² - 18b³ - 7b³
4a³ + 24ab² - 25b³
Therefore, 4a³ + 24ab² - 25b³ is equivalent to the polynomial expression, (2a - 3b)(2a² + 6b²) + (6a²b + 12ab² - 7b³).
