SOLUTION: Please help me to factor complete: {{{b^6 + 125}}} I tried: {{{(b^3 + 5)(b^3 + 15b + 5)}}}

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Question 434018: Please help me to factor complete: b%5E6+%2B+125
I tried: %28b%5E3+%2B+5%29%28b%5E3+%2B+15b+%2B+5%29

Found 2 solutions by robertb, Alan3354:
Answer by robertb(5830) About Me  (Show Source):
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me to factor complete: b%5E6+%2B+125
I tried: %28b%5E3+%2B+5%29%28b%5E3+%2B+15b+%2B+5%29
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It's the sum of 2 cubes.
m%5E3+%2B+n%5E3+=+%28m%2Bn%29%2A%28m%5E2+-+mn+%2B+n%5E2%29
= %28b%5E2%29%5E3+%2B+5%5E3
--> %28b%5E2+%2B+5%29%2A%28b%5E4+-+5b%5E2+%2B+25%29