SOLUTION: factor: 2x^3+16

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Question 380408: factor: 2x^3+16
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
2x%5E3%2B16 First, factor a 2.
2%28x%5E3%2B8%29 Now notice that you have the sum of two cubes in the parentheses.
2%28%28x%29%5E3%2B%282%29%5E3%29
The sum of two cubes can be factored thus:
A%5E3%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29 so in this problem, A = x and B = 2.
highlight%282%28%28x%29%5E3%2B%282%29%5E3%29+=+2%28X%2B2%29%28x%5E2-2x%2B4%29%29