Factor.
-$$a ^ { 6 } - 64 x ^ { 6 }$$
A) $\left( a ^ { 3 } + 8 x ^ { 3 } \right) \left( a ^ { 3 } - 8 x ^ { 3 } \right)$
B) $( a + 2 x ) ( a - 2 x ) \left( a ^ { 4 } + 4 a ^ { 2 } x ^ { 2 } + 16 x ^ { 4 } \right)$
C) $\left( a ^ { 2 } - 4 x ^ { 2 } \right) \left( a ^ { 4 } + 4 a ^ { 2 } x ^ { 2 } + 16 x ^ { 4 } \right)$
D) $( a + 2 x ) ( a - 2 x ) \left( a ^ { 2 } + 2 a x + 4 x ^ { 2 } \right) \left( a ^ { 2 } - 2 a x + 4 x ^ { 2 } \right)$

Question

Quizplus · Accepted Answer

The expression is a difference of squares: $a^6 - (2x)^6$. It factors as $(a^3 + (2x)^3)(a^3 - (2x)^3)$, which further factors into $(a + 2x)(a - 2x)(a^2 + 2ax + 4x^2)(a^2 - 2ax + 4x^2)$.

Factor - a6−64x6a ^ { 6 } - 64 x ^ { 6 }a6−64x6

Factor
- $a ^ { 6 } - 64 x ^ { 6 }$