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Find (X + 1)6 + (X – 1)6. Hence Or Otherwise Evaluate (Sqrt2 + 1)^6 + (Sqrt2 -1)^6 - CBSE (Arts) Class 11 - Mathematics

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Question

Find (x + 1)6 + (x – 1)6. Hence or otherwise evaluate `(sqrt2 + 1)^6 + (sqrt2 -1)^6`

Solution

Using Binomial Theorem, the expressions, (x + 1)6 and (x – 1)6, can be expanded as

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Solution Find (X + 1)6 + (X – 1)6. Hence Or Otherwise Evaluate (Sqrt2 + 1)^6 + (Sqrt2 -1)^6 Concept: Binomial Theorem for Positive Integral Indices.
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