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Evaluate (Sqrt3 +Sqrt2)^6 - (Sqrt3 - Sqrt2)^6 - Mathematics

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Question

Evaluate `(sqrt3  +sqrt2)^6 - (sqrt3 - sqrt2)^6`

Solution

Firstly, the expression (a + b)6 – (a – b)6 is simplified by using Binomial Theorem.

This can be done as

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Solution Evaluate (Sqrt3 +Sqrt2)^6 - (Sqrt3 - Sqrt2)^6 Concept: Binomial Theorem for Positive Integral Indices.
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