Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Entry-Level Assessment - Page xxxvii: 14

Answer

$$\text{F}$$

Work Step by Step

The two terms have $6$ as a common factor. Factor out $6$ to obtain: \begin{align*} &=6(x^2-36)\\ &=6(x^2-6^2) \end{align*} Recall: $a^2-b^2=(a-b)(a+b)$ Thus, with $a=x$ and $b=6$, the expression $x^2-6^2$ can be factored as $(x-6)(x+6)$. Hence, $$6(x^2-6^2)=6(x-6)(x+6)$$ Therefore, the answer is Option $\text{F}$.
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