SOLUTION: Factor the following expression. Factor out any common factors first. 4m+n + 16m^2- n^2

Algebra ->  Expressions -> SOLUTION: Factor the following expression. Factor out any common factors first. 4m+n + 16m^2- n^2      Log On


   

Question 317056: Factor the following expression. Factor out any common factors first.
4m+n + 16m^2- n^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4m%2Bn%2B16m%5E2-n%5E2 Start with the given expression


4m%2Bn%2B%284m%2Bn%29%284m-n%29 Factor 16m%5E2-n%5E2 to get %284m%2Bn%29%284m-n%29


%284m%2Bn%29%281%2B4m-n%29 Factor out the GCF 4m%2Bn


So 4m%2Bn%2B16m%5E2-n%5E2 factors to %284m%2Bn%29%281%2B4m-n%29


In other words, 4m%2Bn%2B16m%5E2-n%5E2=%284m%2Bn%29%281%2B4m-n%29