Question 195730
{{{7x^3-7x^2-x+1}}} Start with the given expression



{{{(7x^3-7x^2)+(-x+1)}}} Group like terms



{{{7x^2(x-1)-1(x-1)}}} Factor out the GCF {{{7x^2}}} out of the first group. Factor out the GCF {{{-1}}} out of the second group



{{{(7x^2-1)(x-1)}}} Since we have the common term {{{x-1}}}, we can combine like terms



So {{{7x^3-7x^2-x+1}}} factors to {{{(7x^2-1)(x-1)}}}