Question 316987
{{{6y+zu+6u+yz}}} Start with the given expression



{{{6u+6y+zu+yz}}} Rearrange the terms.



{{{(6u+6y)+(zu+yz)}}} Group the terms



{{{6(u+y)+z(u+y)}}} Factor out the GCF {{{6}}} out of the first group. Factor out the GCF {{{z}}} out of the second group



{{{(6+z)(u+y)}}} Since we have the common term {{{u+y}}}, we can combine like terms



So {{{6y+zu+6u+yz}}} factors to {{{(6+z)(u+y)}}}



In other words, {{{6y+zu+6u+yz=(6+z)(u+y)}}}