SOLUTION: Find the LCM of: 121x^2-9y^2 and 11x^2+3xy I've tried breaking it down but i'm not sure how i would break it all down into one final answer. Could you please tell me my solut

Algebra ->  Rational-functions -> SOLUTION: Find the LCM of: 121x^2-9y^2 and 11x^2+3xy I've tried breaking it down but i'm not sure how i would break it all down into one final answer. Could you please tell me my solut      Log On


   



Question 548037: Find the LCM of:
121x^2-9y^2 and 11x^2+3xy
I've tried breaking it down but i'm not sure how i would break it all down into one final answer. Could you please tell me my solution?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the LCM of:
121x^2-9y^2 and 11x^2+3xy
:
Let's factor these and see what we come up with, you can see that the first
expression is the difference of squares, the 2nd we can factor out x, we have:
:
(11x - 3y)(11x + 3y) and x(11x + 3y)
:
therefore factors of the LCM are
x(11x-3y)(11x+3y)
:
FOIL the difference of squares, mult that by x:
x(121x^2 - 9y^2) = 121x^3 - 9xy^2 is the LCM