SOLUTION: Can someone please help me with this problem: Perform the indicated operation. Give the answer in lowest terms. k^2 + 10k + 24 / k^2 + 11k + 30 * k^2 + 5k / k^2 - 3k - 28

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone please help me with this problem: Perform the indicated operation. Give the answer in lowest terms. k^2 + 10k + 24 / k^2 + 11k + 30 * k^2 + 5k / k^2 - 3k - 28       Log On


   

Question 201121: Can someone please help me with this problem:
Perform the indicated operation. Give the answer in lowest terms.
k^2 + 10k + 24 / k^2 + 11k + 30 * k^2 + 5k / k^2 - 3k - 28
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%2B10k%2B24 to get %28k%2B6%29%2A%28k%2B4%29.


Factor k%5E2%2B11k%2B30 to get %28k%2B6%29%2A%28k%2B5%29.


Factor k%5E2%2B5k to get k%2A%28k%2B5%29.


Factor k%5E2-3k-28 to get %28k%2B4%29%2A%28k-7%29.


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


k%2F%28k-7%29 Simplify.


So simplifies to k%2F%28k-7%29.


In other words,