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Factor. $\newline$ $5f^3 - 5f^2 + 9f - 9$

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Factor by grouping

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Q. Factor.

\newline

5f^3 - 5f^2 + 9f - 9

Factor out common factors: Look for common factors in the first two terms and the last two terms separately. $\newline$ We can factor out $5f^2$ from the first two terms, $5f^3$ and $-5f^2$ . $\newline$ $5f^3 - 5f^2 = 5f^2(f - 1)$
Factor out $9$ : Look for common factors in the last two terms. $\newline$ We can factor out $9$ from the last two terms, $9f$ and $-9$ . $\newline$ $9f - 9 = 9(f - 1)$
Combine factored terms: Now we have factored both pairs of terms: $\newline$ $5f^3 - 5f^2 + 9f - 9 = 5f^2(f - 1) + 9(f - 1)$ $\newline$ Notice that $(f - 1)$ is a common factor in both terms.
Factor out $(f - 1)$ : Factor out the common factor $(f - 1)$ from both terms. $\newline$ $5f^2(f - 1) + 9(f - 1) = (f - 1)(5f^2 + 9)$

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