SOLUTION: Find the LCM of 14y^2+42y and 7y^2+35y+42 The LCM is ______.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the LCM of 14y^2+42y and 7y^2+35y+42 The LCM is ______.      Log On


   

Question 553425: Find the LCM of 14y^2+42y and 7y^2+35y+42
The LCM is ______.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
First we factor 14y%5E2%2B42y%29%29%29+and+%7B%7B%7B7y%5E2%2B35y%2B42
14y%5E2%2B42y=14y%28y%2B3%29
7y%5E2%2B35y%2B42=7%28y%5E2%2B5y%2B6%29=7%28y%2B3%29%28y%2B2%29
Both expressions have 7 and y%2B3 as a common factor, so that will help.
14y%28y%2B3%29%28y%2B2%29=14y%28y%5E2%2B5y%2B6%29=14y%5E3%2B70y%2B84 is the least common multiple, made by multiplying all the factors present in one and/or the other expression.