Find `(a+b)^4-(a-b)^4dot` Hence evaluate `(sqrt(3)+sqrt(2))^4-(sqrt(3)-sqrt(2))^4`

Explanation

To solve the problem, we will first find the expression \((a+b)^4 - (a-b)^4\) using the Binomial Theorem, and then we will substitute \(a = \sqrt{3}\) and \(b = \sqrt{2}\) to evaluate the specific expression.

### Step 1: Expand \((a+b)^4\) and \((a-b)^4\)

Using the Binomial Theorem, we can expand both expressions:

\[
(a+b)^4 = \sum_{k=0}^{4} \binom{4}{k} a^{4-k} b^k
...