Factor the sum or difference of two cubes.
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D) prime

Question

Quizplus · Accepted Answer

The sum or difference of two cubes factorization is given by $a^3 \pm b^3 = (a \pm b)(a^2 \mp ab + b^2)$. In this case, $a = \sqrt[3]{11ebb63d_1b76_73f4_b851_5bc08355ae94}$ and $b=1$. Plugging these values into the factorization formula, we get: $$a^3 + b^3 = \left(\sqrt[3]{11ebb63d_1b76_73f4_b851_5bc08355ae94}+1\right)\left(a^2 - a \cdot b + b^2\right)$$
Simplifying the expression $a^2 - a \cdot b + b^2$ gives $(a-b)^2 + ab$, which is equal to $11ebb63d_1b76_9b07_b851_efd6c4156805$. Therefore, the correct answer is C.

Factor the Sum or Difference of Two Cubes