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# Find $(a + b)^4 - (a - b)^4.$ Hence, evaluate $( \sqrt3 + \sqrt2)^4 - (\sqrt 3 - \sqrt 2)^4$.

$\begin{array}{1 1} 40 \sqrt 6 \\ 20 \sqrt 6 \\ 40 \sqrt 3 \\ 20 \sqrt 3 \end{array}$

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## 1 Answer

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Toolbox:
• Express the given number as the sum or difference of two numbers whose powers are easier to evaluate. Then use binomial theorem as follows: