Question 144974

{{{a^2+a+3a+3}}} Start with the given expression


{{{(a^2+a)+(3a+3)}}} Group like terms



{{{a(a+1)+3(a+1)}}} Factor out the GCF {{{a}}} out of the first group. Factor out the GCF {{{3}}} out of the second group



{{{(a+3)(a+1)}}} Since we have the common term {{{a+1}}}, we can combine like terms


So {{{a^2+a+3a+3}}} factors to {{{(a+3)(a+1)}}}