Question 699494
{{{5x^3+4x^2-10x-8}}} Start with the given expression



{{{(5x^3+4x^2)+(-10x-8)}}} Group the terms in two pairs



{{{x^2(5x+4)-2(5x+4)}}} Factor out the GCF {{{x^2}}} out of the first group. Factor out the GCF {{{-2}}} out of the second group



{{{(x^2-2)(5x+4)}}} Since we have the common term {{{5x+4}}}, we can combine like terms



So {{{5x^3+4x^2-10x-8}}} factors to {{{(x^2-2)(5x+4)}}}



In other words, {{{5x^3+4x^2-10x-8=(x^2-2)(5x+4)}}}