Question 122550
Do you want to factor these?


I'll do the first two to get you started


# 1


{{{ac-bc+ad-bd}}} Start with the given expression


{{{(ac-bc)+(ad-bd)}}} Group like terms



{{{c(a-b)+d(a-b)}}} Factor out the GCF {{{c}}} out of the first group. Factor out the GCF {{{d}}} out of the second group



{{{(c+d)(a-b)}}} Since we have the common term {{{a-b}}}, we can combine like terms


So {{{ac-bc+ad-bd}}} factors to {{{(c+d)(a-b)}}}




# 2



{{{xy-3x-8y+24}}} Start with the given expression


{{{(xy-3x)+(-8y+24)}}} Group like terms



{{{x(y-3)-8(y-3)}}} Factor out the GCF {{{x}}} out of the first group. Factor out the GCF {{{-8}}} out of the second group



{{{(x-8)(y-3)}}} Since we have the common term {{{y-3}}}, we can combine like terms


So {{{xy-3x-8y+24}}} factors to {{{(x-8)(y-3)}}}