SOLUTION: What are all possible factors of a^6-b^6?

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Question 994474: What are all possible factors of a^6-b^6?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a%5E6-b%5E6
%28a%5E3%29%5E2-%28b%5E3%29%5E2
%28a%5E3-b%5E3%29%28a%5E3%2Bb%5E3%29.....use the rule for factoring %28a%5E3-b%5E3%29 and %28a%5E3%2Bb%5E3%29:a%5E3-b%5E3=%28a-b%29%28a%5E2-ab%2Bb%5E2%29 and a%5E3%2Bb%5E3=%28a%2Bb%29%28a%5E2%2Bab%2Bb%5E2%29
so, we have:
%28a-b%29+%28a%2Bb%29+%28a%5E2-ab%2Bb%5E2%29+%28a%5E2%2Bab%2Bb%5E2%29