Question

$a^{3}+64=$

Explanation:

Step1: Recognize sum of cubes

$a^3 + 64 = a^3 + 4^3$

Step2: Apply sum of cubes formula

Recall $x^3 + y^3 = (x+y)(x^2-xy+y^2)$. Substitute $x=a, y=4$:
$a^3 + 4^3 = (a+4)(a^2 - 4a + 4^2)$

Step3: Simplify the quadratic term

$(a+4)(a^2 - 4a + 16)$

Answer:

$(a+4)(a^2 - 4a + 16)$