SOLUTION: Multiply and, if possible, simplify. k^2+9k+14/k^2+14k+49∙k^2+7k/(k^2+5k+6

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Multiply and, if possible, simplify. k^2+9k+14/k^2+14k+49∙k^2+7k/(k^2+5k+6      Log On


   

Question 242939: Multiply and, if possible, simplify.
k^2+9k+14/k^2+14k+49∙k^2+7k/(k^2+5k+6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given expression.


Factor k%5E2%2B9k%2B14 to get %28k%2B7%29%2A%28k%2B2%29.


Factor k%5E2%2B14k%2B49 to get %28k%2B7%29%28k%2B7%29.


Factor k%5E2%2B7k to get k%2A%28k%2B7%29.


Factor k%5E2%2B5k%2B6 to get %28k%2B3%29%2A%28k%2B2%29.


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


k%2F%28k%2B3%29 Simplify.


So simplifies to k%2F%28k%2B3%29.


In other words,