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KCET2009MathematicsBinomial Theorem

The total number of terms in the expansion of (x+y)¹⁰⁰+(x-y)¹⁰⁰ after simplification is

Options

  1. A51
  2. B202
  3. C100
  4. D50

Correct answer

A. 51

Step-by-step solution

Let f(x)=(x+y)¹⁰⁰+(x-y)¹⁰⁰ Here, n =100 , which is even. Total number of terms aligned &= n +2 2 = 100+2 2 &=51 aligned

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