How do you factor $(x-1)^2 (3x-1)-2(x-1)$ ?

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Answer 1 · 2016-06-27T10:37:31

$(x-1)(3x+2)(x-2)$

There is a common bracket which can be taken out from each term.

$(x-1)[(x-1)(3x-1)-2]$

Multiply the terms inside the bracket to see if they can be simplified and factorised further.

$(x-1)(3x^2-4x -4]$

$(x-1)(3x+2)(x-2)$

How do you factor (x-1)^2 (3x-1)-2(x-1)(x-1)^2 (3x-1)-2(x-1)?