SOLUTION: Please help me with this problem. Factor 4x(x+6y)+6(x+6y) I got down to 2x(2x+15y+3), but can you factor 2x+15y+3 further? Thank you so much for your help!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me with this problem. Factor 4x(x+6y)+6(x+6y) I got down to 2x(2x+15y+3), but can you factor 2x+15y+3 further? Thank you so much for your help!      Log On


   

Question 131053: Please help me with this problem.

Factor 4x(x+6y)+6(x+6y)
I got down to 2x(2x+15y+3), but can you factor 2x+15y+3 further?
Thank you so much for your help!
Found 2 solutions by jim_thompson5910, checkley71:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4x%28x%2B6y%29%2B6%28x%2B6y%29+ Start with the given expression


%284x%2B6%29%28x%2B6y%29+ Notice how the common factor is x%2B6y. So this means that we can combine like terms. Note: this is very similar to something like x%2B2x=%281%2B2%29x=3x



2%282x%2B3%29%28x%2B6y%29+ Factor the GCF 2 from 4x%2B6

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
4x(x+6y)+6(x+6y)
(4x+6)(x+6y)
2(2x+3)(x+6y)