Prove that x^3 + x^2 + x is factor of (x...

Prove that `x^3 + x^2 + x` is factor of `(x+1)^n - x^n -1` where n is odd integer greater than 3, but not a multiple of 3.

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`x^3+x^2+x=(x+1)-x^2-1`
`x[1+x+x^2]`
`1+w+w^2=0`
`x(x-w)(x-w^2)`
When x=0
`(0+1)^n-(0)^n-1=0`
when x=w
`(1+w)^n-w^n-1`
...

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