Find `(x+1)^6+(x-1)^6`. Hence or otherwise evaluate `(sqrt(2)+1)^6+(sqrt(2)-1)^6`.

Explanation

To solve the problem, we need to find the value of \((x+1)^6 + (x-1)^6\) and then evaluate \((\sqrt{2}+1)^6 + (\sqrt{2}-1)^6\).

### Step 1: Expand \((x+1)^6\) and \((x-1)^6\) using the Binomial Theorem

The Binomial Theorem states that:
\[ (a + b)^n = \sum_{r=0}^{n} \binom{n}{r} a^{n-r} b^r \]
...