The coefficient of x 20 in the expansion of (1+x^ 2 )^ 40 (x^ 2 +2+ 1 x^ 2 )^ -5 is

Mathematics · JEE Advanced · NTA ExamsBinomial Theorem And Its Simple Applications

The coefficient of x20 in the expansion of \(\left(1+x^{2}\right)^{40} \cdot\left(x^{2}+2+\frac{1}{x^{2}}\right)^{-5}\) is
  1. 30C10
  2. 30C25
  3. 1
  4. none of these

Answer

(B) 30 C 25

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