Answer
False.
The correct statement is:
$x^3-64 = (x-4)(x^2+4x+16)$
Work Step by Step
The given expression can be written as $x^3-4^3$, a difference of two cubes.
RECALL:
$a^3-b^3=(a-b)(a^2+ab+b^2)$
Factor the difference of two cubes using the formula above with $a=x$ and $b=4$ to obtain:
$=(x-4)(x^2+4x+16)$
Thus, the given statement is FALSE.
The correct statement is :
$x^3-64 = (x-4)(x^2+4x+16)$
