SOLUTION: how do you factor: 2t^7+54t^4

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Question 772570: how do you factor: 2t^7+54t^4
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
2t%5E7%2B54t%5E4=2t%5E4%28t%5E3%2B27%29 taking out 2t%5E4 as a common factor.
Then, a sum of cubes is a special product of the form
%28a%5E2-ab%2Bb%5E2%29%28a%2Bb%29=a%5E3%2Bb%5E3
and since t%5E3%2B27=t%5E3%2B3%5E3, t%5E3%2B27=%28t%2B3%29%28t%5E2-3t%2B3%5E2%29
So,