Factor the polynomial completely
-$10 a^{3}+25 a^{2} b+4 a b^{2}+10 b^{3}$
A) $\left(5 a^{2}-2 b^{2}\right)(2 a-5 b)$
B) $\left(5 a^{2}+2 b^{2}\right)(2 a+5 b)$
C) $\left(10 a^{2}+2 b^{2}\right)(a+5 b)$
D) $\left(5 a^{2}+2 b\right)(2 a+5 b)$

Question

Quizplus · Accepted Answer

The polynomial can be grouped and factored as follows: $10a^3 + 25a^2b + 4ab^2 + 10b^3 = 5a^2(2a + 5b) + 2b^2(2a + 5b) = (5a^2 + 2b^2)(2a + 5b)$, which matches choice B.

Factor the Polynomial Completely - 10a3+25a2b+4ab2+10b310 a^{3}+25 a^{2} b+4 a b^{2}+10 b^{3}10a3+25a2b+4ab2+10b3

Factor the Polynomial Completely
- $10 a^{3}+25 a^{2} b+4 a b^{2}+10 b^{3}$