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NDA2013MathematicsBinomial TheoremActual

How many terms are there in the expansion of (1+2 x+x^2 )¹⁰ ?

Options

  1. A11
  2. B20
  3. C21
  4. D30

Correct answer

C. 21

Step-by-step solution

(1+2 x+x^2 )¹⁰= (1+x)^2 ¹⁰=(1+x)²⁰ We know that number of terms in the expansion of (1+x)^n are n+1 so, required number of terms =20+1=21 .

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