Question

please help me resolve this factor
into cube​

Answer 1

$a^ 6 - 64\\\\=(a^3)^2 - 8^2\\\\=(a^3 -8)(a^3 +8)\\\\=(a^3 -2^3)(a^3+2^3)\\\\=(a-2)(a^2 +2a +2^2)(a+2)(a^2 -2a+2^2)\\\\=(a-2)(a^2 +2a+4)(a+2)(a^2 -2a+4)$