SOLUTION: Factor: (3mp - 12mr)-(4nr - np)

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Question 55100This question is from textbook Algebra Structure and Method book 1
: Factor: (3mp - 12mr)-(4nr - np) This question is from textbook Algebra Structure and Method book 1

Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Factor: (3mp - 12mr)-(4nr - np)
=3m(p-4r) - n(4r-p)
=3m(p-4r)+n(p-4r)
=(p-4r)(3m+n)
Cheers,
Stan H.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
%283mp-12mr%29-%284nr-np%29 From the first set of parentheses, you can factor 3m and from the second set of parentheses you can factor n to give you:
3m%28p-4r%29-n%284r-p%29 You can change the second term from-n%284r-p%29to +%2Bn%28p-4r%29 to give you:
3m%28p-4r%29%2Bn%28p-4r%29 Now you can factor the %28p-4r%29 to get:
%28p-4r%29%283m%2Bn%29...and you're done!