SOLUTION: factor 8x^3-125y^6

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Question 637804: factor 8x^3-125y^6
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Use the pattern a%5E3+-+b%5E3+=+%28a+-+b%29%28a%5E2+%2B+ab+%2B+b%5E2%29.
Let a%5E3+=+8x%5E3 and b%5E3+=+125y%5E6, get the cube roots
so a+=+2x and b+=+5y%5E2
The factored form is highlight%28%282x+-+5y%5E2%29%284x%5E2+%2B+10xy%5E2+%2B+25y%5E4%29%29