SOLUTION: Factor the polynomial 27a^3+8b^3

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Question 1068887: Factor the polynomial 27a^3+8b^3
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the polynomial 27a^3+8b^3
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It's a sum of 2 cubes.
m%5E3+%2B+n%5E3+=+%28m%2Bn%29%2A%28m%5E2+-+mn+%2B+n%5E2%29
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PS m%5E3+-+n%5E3+=+%28m-n%29%2A%28m%5E2+%2B+mn+%2B+n%5E2%29

Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
.
Overview of the shortcut cubic multiplication formulas.


1. The cube of the sum formula is                 %28a+%2B+b%29%5E3+=+a%5E3+%2B+3a%5E2%2Ab+%2B+3a%2Ab%5E2+%2B+b%5E3.
      For details and examples of applications of this formula see the lesson The cube of the sum formula in this site.


2. The cube of the difference formula is     %28a+-+b%29%5E3+=+a%5E3+-+3a%5E2%2Ab+%2B+3a%2Ab%5E2+-+b%5E3.
      For details and examples of applications of this formula see the lesson The cube of the difference formula in this site.


3. The sum of cubes formula is                       a%5E3+%2B+b%5E3+=+%28a+%2B+b%29%2A%28a%5E2+-+ab+%2B+b%5E2%29.
      For details and examples of applications of this formula see the lesson The sum of cubes formula in this site.

4. The difference of cubes formula is           a%5E3+-+b%5E3+=+%28a+-+b%29%2A%28a%5E2+%2B+ab+%2B+b%5E2%29.
      For details and examples of applications of this formula see the lesson The difference of cubes formula in this site.