Factor. 10g^3 + 10g^2 - 7g - 7 ______

Group Terms: Group the terms to find common factors. We can group the terms as follows: (10g^3 + 10g^2) and (-7g - 7).Factor Common Factors: Factor out the greatest common factor from each group. From the first group (10g^3 + 10g^2), we can factor out 10g^2, which gives us 10g^2(g + 1). From the second group (-7g - 7), we can factor out -7, which gives us -7(g + 1).Write Factored Expression: Write the expression with the factored groups. Now we have 10g^2(g + 1) - 7(g + 1).Factor Common Binomial: Factor out the common binomial factor. We can see that (g + 1) is common in both terms, so we factor it out to get (g + 1)(10g^2 - 7).

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Factor. $\newline$ $10g^3 + 10g^2 - 7g - 7$

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Q. Factor.

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10g^3 + 10g^2 - 7g - 7

Group Terms: Group the terms to find common factors. $\newline$ We can group the terms as follows: $(10g^3 + 10g^2)$ and $(-7g - 7)$ .
Factor Common Factors: Factor out the greatest common factor from each group. $\newline$ From the first group $10g^3 + 10g^2$ , we can factor out $10g^2$ , which gives us $10g^2(g + 1)$ . $\newline$ From the second group $-7g - 7$ , we can factor out $-7$ , which gives us $-7(g + 1)$ .
Write Factored Expression: Write the expression with the factored groups. $\newline$ Now we have $10g^2(g + 1) - 7(g + 1)$ .
Factor Common Binomial: Factor out the common binomial factor. $\newline$ We can see that $(g + 1)$ is common in both terms, so we factor it out to get $(g + 1)(10g^2 - 7)$ .