SOLUTION: 1-(a+b)^3 Factor the polynomial completely, write prime if the polynomial cannot be factored.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 1-(a+b)^3 Factor the polynomial completely, write prime if the polynomial cannot be factored.      Log On


   

Question 541034: 1-(a+b)^3
Factor the polynomial completely, write prime if the polynomial cannot be factored.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1-%28a%2Bb%29%5E3


1%5E3-%28a%2Bb%29%5E3


%281-%28a%2Bb%29%29%281%5E2%2B1%2A%28a%2Bb%29%2B%28a%2Bb%29%5E2%29 Note: use the difference of cubes factoring formula here


%281-%28a%2Bb%29%29%281%2Ba%2Bb%2B%28a%2Bb%29%5E2%29


%281-a-b%29%281%2Ba%2Bb%2Ba%5E2%2B2ab%2Bb%5E2%29


So 1-%28a%2Bb%29%5E3=%281-a-b%29%281%2Ba%2Bb%2Ba%5E2%2B2ab%2Bb%5E2%29


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