Question

factor the expression completely. -63x^5 + 72

Explanation:

Step1: Factor out GCF

First, find the greatest common factor (GCF) of -63 and 72, which is -9.

$$\begin{align*} -63x^5 + 72 &= -9(7x^5 - 8) \end{align*}$$

Step2: Check for further factoring

The expression $7x^5 - 8$ cannot be factored over the integers or using standard polynomial factoring rules.

Answer:

$-9(7x^5 - 8)$