Factor completely.
-$50 a ^ { 4 } - 8 b ^ { 2 }$
A) $\left( 10 a ^ { 2 } + 4 b \right) \left( 5 a ^ { 2 } - 2 b \right)$
B) $2 \left( 5 a ^ { 2 } + 2 b \right) ^ { 2 }$
C) $2 \left( 5 a ^ { 2 } - 2 b \right) ^ { 2 }$
D) $2 \left( 5 a ^ { 2 } + 2 b \right) \left( 5 a ^ { 2 } - 2 b \right)$

Question

Quizplus · Accepted Answer

Taking out the greatest common factor of $2$ gives $2(25a^4-4b^2)$. Factoring the expression inside the parentheses as a difference of squares gives us $2(5a^2+2b)(5a^2-2b)$, which cannot be factored further. Therefore, the answer is $\boxed{	extbf{(D)}}$.

Factor Completely 50a4−8b250 a ^ { 4 } - 8 b ^ { 2 }50a4−8b2

Factor Completely $50 a ^ { 4 } - 8 b ^ { 2 }$