Factor the polynomial completely
-$50 a^{4} b-72 b^{3}$
A) $2 b\left(5 a^{2}+6 b\right)\left(5 a^{2}-6 b\right)$
B) $2 b(5 a+6 b)^{2}$
C) $2 b(5 a-6 b)^{2}$
D) $(10 a+12 b)\left(5 a b-6 b^{2}\right)$

Question

Quizplus · Accepted Answer

The greatest common factor (GCF) of the terms $50a^4b$ and $72b^3$ is $2b$. Factoring out $2b$, we get $2b(25a^4 - 36b^2)$. Recognizing $25a^4 - 36b^2$ as a difference of squares, it can be factored further into $(5a^2)^2 - (6b)^2$, which gives $2b(5a^2 + 6b)(5a^2 - 6b)$.

Factor the Polynomial Completely - 50a4b−72b350 a^{4} b-72 b^{3}50a4b−72b3 A) 2b(5a2+6b)(5a2−6b)2 b\left(5 a^{2}+6 b\right)\left(5 a^{2}-6 b\right)2b(5a2+6b)(5a2−6b)

Factor the Polynomial Completely
- $50 a^{4} b-72 b^{3}$ A) $2 b\left(5 a^{2}+6 b\right)\left(5 a^{2}-6 b\right)$