Question 167667


{{{8a^2+4a-14ab-7b}}} Start with the given expression



{{{(8a^2+4a)+(-14ab-7b)}}} Group like terms



{{{4a(2a+1)-7b(2a+1)}}} Factor out the GCF {{{4a}}} out of the first group. Factor out the GCF {{{-7b}}} out of the second group



{{{(4a-7b)(2a+1)}}} Since we have the common term {{{2a+1}}}, we can combine like terms



So {{{8a^2+4a-14ab-7b}}} factors to {{{(4a-7b)(2a+1)}}}