If `n` is n odd integer that is greater than or equal to 3 but not a multiple of 3, then prove that `(x+1)^n-x^n-1` is divisible by `x^3+x^2+xdot`

Explanation

To prove that \( (x+1)^n - x^n - 1 \) is divisible by \( x^3 + x^2 + x \) for an odd integer \( n \geq 3 \) that is not a multiple of 3, we can follow these steps:

### Step 1: Define the function
Let
\[ f(x) = (x+1)^n - x^n - 1. \]

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