SOLUTION: Factor Completely 54x^3+16y^3 Any help will be greatly appreciated! Thank you in advance!

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Question 169325: Factor Completely 54x^3+16y^3
Any help will be greatly appreciated! Thank you in advance!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely:
54x%5E3%2B16y%5E3 First, factor a 2 from the expression.
2%2827x%5E3%2B8y%5E3%29 Do you notice that the parentheses contain the sum of two cubes? You can rewrite this to see it better:
2%28%283x%29%5E3%2B%282y%29%5E3%29 Now the sum of two cubes can be factored nicely as:
A%5E3%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29 so, applying this to your expression, we get:
2%283x%2B2y%29%289x%5E2-6xy%2B4y%5E2%29 ...and there you have it!