SOLUTION: k^2+10k+24 over k^2+11k+30 * k^2+5k over k^2-2k-24 help

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Question 44327: k^2+10k+24 over k^2+11k+30 * k^2+5k over k^2-2k-24
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Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
We always factor and cancel in problems like these...so we get
k^2+10k+24 / k^2+11k+30 * k^2+5k / k^2-2k-24 =
(k+6)(k+4) / (k+6)(k+5) * k(k+5) / (k-6)(k+4) =
Now the k+6, k+5, and k+4's cancel, leaving
k / k-6