Question 236426


{{{4ab-20a+15c-3bc}}} Start with the given expression



{{{4ab-20a-3bc+15c}}} Rearrange the terms.



{{{(4ab-20a)+(-3bc+15c)}}} Group like terms



{{{4a(b-5)-3c(b-5)}}} Factor out the GCF {{{4a}}} out of the first group. Factor out the GCF {{{-3c}}} out of the second group



{{{(4a-3c)(b-5)}}} Since we have the common term {{{b-5}}}, we can combine like terms



So {{{4ab-20a-3bc+15c}}} factors to {{{(4a-3c)(b-5)}}}



In other words, {{{4ab-20a-3bc+15c=(4a-3c)(b-5)}}}