Question

find the binomial that completes the factorization.
$x^3 + y^3 = (\square)(x^2 - xy + y^2)$

Explanation:

Step1: Recall sum of cubes formula

The sum of cubes formula is $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$.

Step2: Apply formula to given expression

Here, $a = x$ and $b = y$, so the binomial factor is $x + y$.

Answer:

$x + y$