The total number of terms in the expansion of (x + a)51 – (x – a)51 after simplification is ______. - Mathematics

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MCQ
Fill in the Blanks

The total number of terms in the expansion of (x + a)51 – (x – a)51 after simplification is ______.

Options

  • 102

  • 25

  • 26

  • None of these

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Solution

The total number of terms in the expansion of (x + a)51 – (x – a)51 after simplification is 26.

Explanation:

Since the total number of terms are 52 of which 26 terms get cancelled.

Concept: Binomial Theorem for Positive Integral Indices
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Chapter 8: Binomial Theorem - Solved Examples [Page 139]

APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 8 Binomial Theorem
Solved Examples | Q 16 | Page 139
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