SOLUTION: Factor completely. 16+2x^3y^3

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Question 54489: Factor completely.
16+2x^3y^3
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
1st factor out the GCF (greatest common factor)
2nd use the formula for factoring the sum of two cubes highlight%28a%5E3%2Bb%5E3=%28a%2Bb%29%28a%5E2-2ab%2Bb%5E2%29%29
:
16%2B2x%5E3y%5E3
2 is the GCF, so factor out a 2:
2%288%2Bx%5E3y%5E3%29
Recognize that the stuff in the parenthsis is the sum of cubes.
2%28%282%2A2%2A2%29%2B%28xy%2Axy%2Axy%29%29
2%28%282%29%5E3%2B%28xy%29%5E3%29 a=2 and b=xy, plug into the formula and you have:
2%282%2Bxy%29%282%5E2-%282%29%28xy%29%2B%28xy%29%5E2%29
highlight%282%282%2Bxy%29%284-2xy%2Bx%5E2y%5E2%29%29
Happy Calculating!!!!