SOLUTION: Factor the polynomial. x^3-y^9

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Question 246714: Factor the polynomial.
x^3-y^9
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3+-+y%5E9
%28x%5E1.5+%2B+y%5E4.5%29%2A%28x%5E1.5+-+y%5E4.5%29
I'd like to check this
Suppose x+=+16 and y+=+9
x%5E3+-+y%5E9
16%5E3+-+9%5E9
By my calculator:
4096+-+387420489+=+-387416393
And my solution:
%28x%5E1.5+%2B+y%5E4.5%29%2A%28x%5E1.5+-+y%5E4.5%29
%2816%5E1.5+%2B+9%5E4.5%29%2A%2816%5E1.5+-+9%5E4.5%29
%284%5E3+%2B+3%5E9%29%2A%284%5E3+-+3%5E9%29
%2864+%2B+19683%29%2A%2864+-+19683%29
19747%2A%28-19619%29+=+-387416393
OK