<PRE><B>Question 221295</B>
st+5b-bs-5t how do you factor out this problem?


Step 1.  Rearrange the expression


st+5b-bs-5t=st-bs-5t+5b


Step 2.  Factor out s in the first two terms and factor our -5 in the last two terms.


st-bs-5t+5b=s(t-b)-5(t-b)


Step 3.  Note that (t-b) is common in the parenthesis...so factor it out


s(t-b)-5(t-b)=(t-b)(s-5)


Step 4.  ANSWER:  st+5b-bs-5t=(t-b)(s-5)


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