SOLUTION: Please help me solve the following problem: k^3+8/k^2-4

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Question 156072: Please help me solve the following problem:
k^3+8/k^2-4
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Use the following formulas:
a%5E3%2Bb%5E3=%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29
a%5E2-b%5E2=%28a%2Bb%29%28a-b%29
to factor k%5E3%2B8 and k%5E2-4.
%28k%5E3%2B8%29%2F%28k%5E2-4%29
=%28k%5E3%2B2%5E3%29%2F%28k%5E2-2%5E2%29
=%28%28k%2B2%29%28k%5E2-2k%2B4%29%29%2F%28%28k%2B2%29%28k-2%29%29
=%28cross%28%28k%2B2%29%29%28k%5E2-2k%2B4%29%29%2F%28cross%28%28k%2B2%29%29%28k-2%29%29
=%28k%5E2-2k%2B4%29%2F%28k-2%29