SOLUTION: factor the following showing all your steps: (x+1)^3+(x-1)^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: factor the following showing all your steps: (x+1)^3+(x-1)^3      Log On


   



Question 876544: factor the following showing all your steps: (x+1)^3+(x-1)^3
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B1%29%5E3%2B%28x-1%29%5E3
use the identity a%5E3%2Bb%5E3=%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29

%28%28x%2B1%2Bx-1%29%29%28%28x%2B1%29%5E2-%28x%2B1%29%28x-1%29%2B%28x-1%29%5E2%29%29

2x%28x%5E2%2B2x%2B1-x%5E2%2B1%2Bx%5E2-2x%2B1%29

2x%28x%5E2%2B3%29%29