SOLUTION: Factor completely. mn - 5n squared - m + 5n

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor completely. mn - 5n squared - m + 5n      Log On


   

Question 115115: Factor completely.
mn - 5n squared - m + 5n
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

mn-5n%5E2-m%2B5n Start with the given expression

%28mn-5n%5E2%29%2B%28-m%2B5n%29 Group like terms


n%28m-5n%29-1%28m-5n%29 Factor out the GCF of n out of the first group. Factor out the GCF of -1 out of the second group


%28n-1%29%28m-5n%29 Since we have a common term of m-5n, we can combine like terms

So mn-5n%5E2-m%2B5n factors to %28n-1%29%28m-5n%29