SOLUTION: Hi Can you explain how to do and simply the following please? (a^1 over 3 - b^1 over 3) ( a^2 over 3 + a^1 over 3 b^1 over 3 + b^2 over 3) Thanks!!!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi Can you explain how to do and simply the following please? (a^1 over 3 - b^1 over 3) ( a^2 over 3 + a^1 over 3 b^1 over 3 + b^2 over 3) Thanks!!!      Log On


   

Question 795822: Hi
Can you explain how to do and simply the following please?
(a^1 over 3 - b^1 over 3) ( a^2 over 3 + a^1 over 3 b^1 over 3 + b^2 over 3)
Thanks!!!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(a^1 over 3 - b^1 over 3) ( a^2 over 3 + a^1 over 3 b^1 over 3 + b^2 over 3)
If you mean
%28a%5E1%2F3+-+b%5E1%2F3%29%2A%28+a%5E2%2F3+%2B+a%5E1%2F3%29%2A%28b%5E1%2F3+%2B+b%5E2%2F3%29
= %28a%2F3+-+b%2F3%29%2A%28+a%5E2+%2B+a%29%2F3%2A%28b%2F3+%2B+b%5E2%2F3%29
= %28a+-+b%29%2F3%2A%28+a%5E2+%2B+a%29%2F3%2A%28b%5E2+%2B+b%29%2F3
= ab%2A%28a+-+b%29%2A%28+a+%2B+1%29%2A%28b+%2B+1%29%2F27
================
With additional info:

= a - b
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m%5E3+-+n%5E3+=+%28m+-+n%29%2A%28m%5E2+%2B+mn+%2B+n%5E2%29 a difference of 2 cubes