SOLUTION: Factor and show work to 3c^7-192c^4

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Question 621591: Factor and show work to 3c^7-192c^4
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
=3c%5E7-192c%5E4
=3c%5E4%28c%5E3-64%29
=3c%5E4%28c%5E3-%284%29%5E3%29
=3c%5E4%28c%5E3-%284%29%5E3%29
Because %28a%5E3-b%5E3%29=%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29
Therefore
=%283c%5E4%29%283c-4%29%28%283c%29%5E2%2B%283c%29%284%29%2B%284%29%5E2%29
=%283c%5E4%29%283c-4%29%289c%5E2%2B12c%2B16%29