Question 236423


{{{2x^3+10x^2-5x-25}}} Start with the given expression



{{{(2x^3+10x^2)+(-5x-25)}}} Group like terms



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



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



So {{{2x^3+10x^2-5x-25}}} factors to {{{(2x^2-5)(x+5)}}}



In other words, {{{2x^3+10x^2-5x-25=(2x^2-5)(x+5)}}}