SOLUTION: how do you factor 4ab-20a+15c-3bc complely?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: how do you factor 4ab-20a+15c-3bc complely?      Log On


   

Question 236426: how do you factor 4ab-20a+15c-3bc complely?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4ab-20a%2B15c-3bc Start with the given expression


4ab-20a-3bc%2B15c Rearrange the terms.


%284ab-20a%29%2B%28-3bc%2B15c%29 Group like terms


4a%28b-5%29-3c%28b-5%29 Factor out the GCF 4a out of the first group. Factor out the GCF -3c out of the second group


%284a-3c%29%28b-5%29 Since we have the common term b-5, we can combine like terms


So 4ab-20a-3bc%2B15c factors to %284a-3c%29%28b-5%29


In other words, 4ab-20a-3bc%2B15c=%284a-3c%29%28b-5%29