Factor out the largest possible common factor.
-$$8 a ^ { 3 } + 6 a ^ { 2 } b - 20 a b ^ { 2 } - 15 b ^ { 3 }$$
A) $\left( 8 a ^ { 2 } - 5 b ^ { 2 } \right) ( a + 3 b )$
B) $\left( 2 a ^ { 2 } + 5 b ^ { 2 } \right) ( 4 a - 3 b )$
C) $\left( 2 a ^ { 2 } - 5 b ^ { 2 } \right) ( 4 a + 3 b )$
D) $\left( 2 a ^ { 2 } - 5 b \right) ( 4 a + 3 b )$

Question

Quizplus · Accepted Answer

The largest common factor that can be factored out from each term is $2a^2 - 5b^2$, leaving the factor $4a + 3b$ when factored completely.

Factor Out the Largest Possible Common Factor 8a3+6a2b−20ab2−15b38 a ^ { 3 } + 6 a ^ { 2 } b - 20 a b ^ { 2 } - 15 b ^ { 3 }8a3+6a2b−20ab2−15b3

Factor Out the Largest Possible Common Factor $8 a ^ { 3 } + 6 a ^ { 2 } b - 20 a b ^ { 2 } - 15 b ^ { 3 }$