Factor. 7m^3 - 7m^2 - 5m + 5 ______

Identify common factors: Look for common factors in pairs of terms. We can group the terms as follows: (7m^3 - 7m^2) and (-5m + 5).Factor out first group: Factor out the common factor from the first group. The common factor in the first group is 7m^2. 7m^3 - 7m^2 = 7m^2(m - 1)Factor out second group: Factor out the common factor from the second group. The common factor in the second group is -5. -5m + 5 = -5(m - 1)Write factored expression: Write the expression with the factored groups. We have: 7m^3 - 7m^2 - 5m + 5 = 7m^2(m - 1) - 5(m - 1)Factor out common binomial: Factor out the common binomial factor. The common binomial factor is (m - 1). 7m^2(m - 1) - 5(m - 1) = (m - 1)(7m^2 - 5)

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Algebra 1

Factor by grouping

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Q. Factor.

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7m^3 - 7m^2 - 5m + 5

Identify common factors: Look for common factors in pairs of terms. $\newline$ We can group the terms as follows: $(7m^3 - 7m^2)$ and $(-5m + 5)$ .
Factor out first group: Factor out the common factor from the first group. $\newline$ The common factor in the first group is $7m^2$ . $\newline$ $7m^3 - 7m^2 = 7m^2(m - 1)$
Factor out second group: Factor out the common factor from the second group. $\newline$ The common factor in the second group is -5＂).$\newline\$-5m + 5 = -5(m - 1)$
Write factored expression: Write the expression with the factored groups.$\newline$We have:$\newline$$7m^3 - 7m^2 - 5m + 5 = 7m^2(m - 1) - 5(m - 1)$
Factor out common binomial: Factor out the common binomial factor.$\newline$The common binomial factor is $(m - 1)$.$\newline$$7m^2(m - 1) - 5(m - 1) = (m - 1)(7m^2 - 5)$