Factor. 10m^3 - 10m^2 - m + 1 ______

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Grouping for factoring: Group terms to prepare for factoring by grouping. Group the first two terms and the last two terms separately. (10m^3 - 10m^2) - (m - 1)Factor out common factor: Factor out the common factor from the first group. Factor out 10m^2 from the first group. 10m^2(m - 1) - (m - 1)Factor out common binomial: Factor out the common factor from the second group. Notice that the second group already has a common factor of 1, so we can write it as 1(m - 1). 10m^2(m - 1) - 1(m - 1)Recognize difference of squares: Factor out the common binomial factor. Now we can factor out the common binomial factor (m - 1) from both groups. (m - 1)(10m^2 - 1)Final factored form: Recognize the difference of squares in the second term. The term 10m^2 - 1 is a difference of squares and can be factored further. (m - 1)((√10m)^2 - (√1)^2) (m - 1)((√10m + 1)(√10m - 1))Math error correction: Write the final factored form. The final factored form of the polynomial is: (m - 1)(√10m + 1)(√10m - 1) However, this step contains a math error because we incorrectly took the square root of 10m^2 as √10m. The correct factorization of 10m^2 - 1 should be (10m + 1)(10m - 1) since it is a difference of squares.

Factor. $\newline$ $10m^3 - 10m^2 - m + 1$

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Factor.\newline10m3−10m2−m+110m^3 - 10m^2 - m + 110m3−10m2−m+1

Factor. $\newline$ $10m^3 - 10m^2 - m + 1$