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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Binomial Theorem

NDA 2022 · Mathematics · Binomial Theorem

How many terms are there in the expansion of...

How many terms are there in the expansion of (1+2x)9(1−2x)9\left(1+\frac{2}{x}\right)^9\left(1-\frac{2}{x}\right)^9 ?

Options

  1. A9
  2. B10
  3. C19
  4. D20

Correct answer

B. 10

Step-by-step solution

(1+2x)9\left(1+\frac{2}{x}\right)^9\left(1-\frac{2}{x}\right)^9=\left(1-\frac{4}{x^2}\right)^9NumberoftermsNumber of terms=9+1=10
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