Evaluate the following: `(sqrt(x+1)+sqrt(x-1))^6+(sqrt(x+1)-sqrt(x-1))^6`

Explanation

To evaluate the expression \((\sqrt{x+1} + \sqrt{x-1})^6 + (\sqrt{x+1} - \sqrt{x-1})^6\), we will follow these steps:

### Step 1: Define Variables
Let:
\[ A = \sqrt{x+1} \quad \text{and} \quad B = \sqrt{x-1} \]
Then, we can rewrite the expression as:
...