Question 140010
{{{st+5b-bs-5t}}} Start with the given expression



{{{st-bs+5b-5t}}} Rearrange the terms



{{{(st-bs)+(5b-5t)}}} Group like terms



{{{s(t-b)-5(-b+t)}}} Factor out the GCF "s" from the first group.  Factor out the GCF -5 from the second group



{{{s(t-b)-5(t-b)}}} Rearrange {{{-b+t}}} in the second group to get {{{t-b}}}



{{{(s-5)(t-b)}}} Combine like terms



-----------------------------

Answer:


So {{{st+5b-bs-5t}}} factors to {{{(s-5)(t-b)}}}