SOLUTION: i dont understand how to do general factoring & its application of factoring by grouping. here is 1 of my problems;7(r-s)+t(r-s)

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Question 406969: i dont understand how to do general factoring & its application of factoring by grouping. here is 1 of my problems;7(r-s)+t(r-s)
Found 2 solutions by ewatrrr, jim_thompson5910:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

7(r-s)+t(r-s)

7r - 7s + rt - st

 r(7+t) -s(7+t)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let z = r-s


So we go from 7(r-s)+t(r-s) to 7z+tz


Now factor out a 'z' to get z(7+t)

Finally, plug in z=r-s to get (r-s)(7+t)


So 7(r-s)+t(r-s) factors to (r-s)(7+t)


In other words, 7(r-s)+t(r-s) = (r-s)(7+t)


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Jim