Answer
$$(x - 2)(x^2 + 2x + 4)$$
Work Step by Step
Looking at this expression, we can see that both terms are cubes, so we can factor this expression using the formula for the difference of cubes, which is given by:
$$(a - b)(a^2 + ab + b^2)$$
where $a$ is the cubed root of the first term and $b$ is the cubed root of the second term.
In this case, $a$ is the $\sqrt[3] x^3$, which is $x$, and $b$ is the $\sqrt[3] 8$, which is $2$. Let us plug in these values into the formula:
$$(x - 2)(x^2 + (x)(2) + 2^2)$$
Let us simplify the exponents first:
$$(x - 2)(x^2 + (x)(2) + 4)$$
Let us multiply to simplify:
$$(x - 2)(x^2 + 2x + 4)$$
