The term independent of x in the expansion of [ (t^ -1 -1 ) x+ (t^ -1 +1 )^ -1 x^ -1 ]^ 8…

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

The term independent of x in the expansion of \(\left[\left(t^{-1}-1\right) x+\left(t^{-1}+1\right)^{-1} x^{-1}\right]^{8}\) is :
  1. \(56\left(\frac{1-t}{1+t}\right)^{3}\)
  2. \(56\left(\frac{1+t}{1-t}\right)^{3}\)
  3. \(70\left(\frac{1-t}{1+t}\right)^{4}\)

Answer

(C) 70 ( 1-t 1+t )^ 4

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