SOLUTION: 5n + 5w - n^2 - nw

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Question 308359: 5n + 5w - n^2 - nw
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
5n+5w-n^2-nw

This is a Factoring by Grouping problem. Group the first two terms and the last two terms:
5(n+w)-n(n+w)

Now, take out the common factor of (n+w):
(n+w)(5-n)

You may want to see my website for help with FACTORING! To find my website, just click on my tutor name "rapaljer" anywhere in algebra.com. For written explanations, look for "Basic, Intermediate, and College Algebra: One Step at a Time", choose "Basic Algebra" and look for "Chapter 2," for several sections dealing with factoring. See also the "MATH IN LIVING COLOR" pages that go with this explanation, where the exercises are solved IN COLOR!

For VIDEO explanations, on my Homepage look for "Rapalje Videos in Living Color". Choose "Basic Algebra" and select the topic of "Factoring." This and other videos are from my own classroom a few years ago before I retired. Everything is FREE, even the videos!

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus