Question 593530


{{{4x^3-6x^2+10x-15}}} Start with the given expression



{{{(4x^3-6x^2)+(10x-15)}}} Group the terms in two pairs



{{{2x^2(2x-3)+5(2x-3)}}} Factor out the GCF {{{2x^2}}} out of the first group. Factor out the GCF {{{5}}} out of the second group



{{{(2x^2+5)(2x-3)}}} Since we have the common term {{{2x-3}}}, we can combine like terms



So {{{4x^3-6x^2+10x-15}}} factors to {{{(2x^2+5)(2x-3)}}}



In other words, {{{4x^3-6x^2+10x-15=(2x^2+5)(2x-3)}}} for all values of x