SOLUTION: Factor the sum of cubes : 8+t^(3)

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Question 648161: Factor the sum of cubes : 8+t^(3)
Answer by Algebraic(50) About Me  (Show Source):
You can put this solution on YOUR website!
Original equation: t%5E3%2B8
To factor sum of cubes, you need to use the following formula:
a%5E3+%2B+b%5E3+=+%28a+%2B+b%29%28a%5E2+-+ab+%2B+b%5E2%29
The a%5E3 in your equation is t%5E3 and the b%5E3 in your equation is 2%5E3=8
Step 1: Replace variables in formula with what is given
Original equation: t%5E3%2B8
Formula: a%5E3+%2B+b%5E3+=+%28a+%2B+b%29%28a%5E2+-+ab+%2B+b%5E2%29
a%5E3+%2B+b%5E3+=+%28t+%2B+2%29%28t%5E2+-+2t+%2B+4%29
So the factored version of the equation you provided is: %28t+%2B+2%29%28t%5E2+-+2t+%2B+4%29