The total number of terms in the expansion of (x + a)100 + (x – a)100 after simplification is ______. - Mathematics

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MCQ
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The total number of terms in the expansion of (x + a)100 + (x – a)100 after simplification is ______.

Options

  • 50

  • 202

  • 51

  • None of these

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Solution

The total number of terms in the expansion of (x + a)100 + (x – a)100 after simplification is 51.

Explanation:

Number of terms in the expansion of (x + a)100 = 101

Number of terms in the expansion of (x – a)100 = 101

Now 50 terms of expansion will cancel out with negative 50 terms of (x – a)100 

So, the remaining 51 terms of first expansion will be added to 51 terms of other

Therefore, the number of terms = 51

Concept: Binomial Theorem for Positive Integral Indices
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Chapter 8: Binomial Theorem - Exercise [Page 144]

APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 8 Binomial Theorem
Exercise | Q 18 | Page 144
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