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Find (a+b)^4-(a-b)^4. Hence, evaluate (s...

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

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To solve the problem \( (a+b)^4 - (a-b)^4 \), we will use the Binomial Theorem to expand both expressions and then simplify. ### Step 1: Expand \( (a+b)^4 \) Using the Binomial Theorem, we have: \[ (a+b)^4 = \sum_{k=0}^{4} \binom{4}{k} a^{4-k} b^k \] Calculating each term: ...
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