Factor by grouping. -15a³ + 12a²b - 25ab² - 20b³ A) ( 3a² - 5b)( 5a + 4b) B) ( 15a² - 5b²)(a + 4b) C) ( 3a² + 5b²)( 5a - 4b) D) ( 3a² - 5b²)( 5a + 4b)

Question

Quizplus · Accepted Answer

The expression can be grouped and factored as follows: Group the terms as (15a^13 + 12a^12b) - (25a^12b + 20b^13), factor out the common terms in each group to get 3a^12(5a + 4b) - 5b^12(5a + 4b), and then factor by grouping to get (3a^12 - 5b^12)(5a + 4b).

Factor by Grouping. -15a3 + 12a2b - 25ab2 - 20b3

Factor by Grouping. -15a³ + 12a²b - 25ab² - 20b³