Factor. 6m^3 - 6m^2 + m - 1 ______

Grouping for factoring: Group terms to prepare for factoring by grouping. Group the first two terms and the last two terms separately. (6m^3 - 6m^2) + (m - 1)Factor out common factors: Factor out the greatest common factor from each group. From the first group, factor out 6m^2. From the second group, factor out 1. 6m^2(m - 1) + 1(m - 1)Factor out (m - 1): Notice that (m - 1) is a common factor in both groups. Factor out (m - 1) from the entire expression. (m - 1)(6m^2 + 1)Check for further factoring: Check to see if the factored terms can be factored further. 6m^2 + 1 is a sum of squares and cannot be factored over the real numbers. The factored form is (m - 1)(6m^2 + 1).

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Algebra 1

Factor by grouping

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Q. Factor.

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6m^3 - 6m^2 + m - 1

Grouping for factoring: Group terms to prepare for factoring by grouping. Group the first two terms and the last two terms separately. $6m^3 - 6m^2$ + $m - 1$
Factor out common factors: Factor out the greatest common factor from each group. $\newline$ From the first group, factor out $6m^2$ . From the second group, factor out $1$ . $\newline$ $6m^2(m - 1) + 1(m - 1)$
Factor out $(m - 1)$ : Notice that $(m - 1)$ is a common factor in both groups. $\newline$ Factor out $(m - 1)$ from the entire expression. $\newline$ $(m - 1)(6m^2 + 1)$
Check for further factoring: Check to see if the factored terms can be factored further. $\newline$ $6m^2 + 1$ is a sum of squares and cannot be factored over the real numbers. $\newline$ The factored form is $(m - 1)(6m^2 + 1)$ .