Question 116759
Do you want to factor?


{{{2bx+cy+cx+2by}}} Start with the given expression



{{{2bx+cx+2by+cy}}} Rearrange the terms


{{{(2bx+cx)+(2by+cy)}}} Group like terms



{{{x(2b+c)+y(2b+c)}}} Factor out the GCF {{{x}}} out of the first group. Factor out the GCF {{{y}}} out of the second group



{{{(x+y)(2b+c)}}} Since we have the common term {{{2b+c}}}, we can combine like terms


So {{{2bx+cx+2by+cy}}} factors to {{{(x+y)(2b+c)}}} which means {{{2bx+cy+cx+2by}}} also factors to {{{(x+y)(2b+c)}}}