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Factor. $\newline$ $4f^3 + 4f^2 - 7f - 7$

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Factor by grouping

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Q. Factor.

\newline

4f^3 + 4f^2 - 7f - 7

Group Terms: Group terms to find common factors. $\newline$ We can group the terms as follows: $(4f^3 + 4f^2)$ and $(-7f - 7)$ .
Factor Common Factors: Factor out the greatest common factor from each group. $\newline$ From the first group $4f^3 + 4f^2$ , we can factor out $4f^2$ , giving us $4f^2(f + 1)$ . $\newline$ From the second group $-7f - 7$ , we can factor out $-7$ , giving us $-7(f + 1)$ .
Write Factored Expression: Write the expression with the factored groups. $\newline$ Now we have $4f^2(f + 1) - 7(f + 1)$ .
Factor Common Binomial: Factor out the common binomial factor. $\newline$ We can see that $(f + 1)$ is a common factor in both terms, so we factor it out to get $(f + 1)(4f^2 - 7)$ .

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