SOLUTION: please help me with this problem and thanx :] factor the polynomial: 64x^3 + 343

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Question 175334This question is from textbook algebra 2
: please help me with this problem and thanx :]
factor the polynomial:
64x^3 + 343 This question is from textbook algebra 2

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
It would help if you could see this binomial as the sum of two cubes?
64x%5E3%2B343+=+%284x%29%5E3%2B%287%29%5E3
The sum of two cubes can be factored thus:
A%5E3%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29
So, with A = (4x) and B = 7, you get:
64x%5E3%2B343+=+highlight%28%284x%2B7%29%2816x%5E2-28x%2B49%29%29