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Factor. $\newline$ $3g^3 - 3g^2 + 8g - 8$

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Factor by grouping

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Q. Factor.

\newline

3g^3 - 3g^2 + 8g - 8

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

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