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Factor. $\newline$ $9q^3 + 9q^2 - 8q - 8$

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Factor by grouping

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Q. Factor.

\newline

9q^3 + 9q^2 - 8q - 8

Factorize $9q^3 + 9q^2$ : Write the factored form of $9q^3 + 9q^2$ . Factor out $9q^2$ from $9q^3$ and $9q^2$ . $9q^3 + 9q^2 = 9q^2(q + 1)$
Factorize $-8q - 8$ : Write the factored form of $-8q - 8$ . $\newline$ Factor out $-8$ from $-8q$ and $-8$ . $\newline$ $-8q - 8 = -8(q + 1)$
Factorize $9q^3 + 9q^2 - 8q - 8$ : We found: $\newline$ $9q^3 + 9q^2 = 9q^2(q + 1)$ $\newline$ $-8q - 8 = -8(q + 1)$ $\newline$ Write the factored form of $9q^3 + 9q^2 - 8q - 8$ . $\newline$ Factor out $(q + 1)$ from $9q^2(q + 1)$ and $-8(q + 1)$ . $\newline$ So, the factored form of $9q^3 + 9q^2 - 8q - 8$ is $(9q^2 - 8)(q + 1)$ .

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