If n>1 then (1+ x )^ n - n x -1 is divisible by

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

If  \(n>1\) then \((1+\mathbf{x})^{\boldsymbol{n}}-\boldsymbol{n} \mathbf{x}-1\) is divisible by     
  1. \(\mathbf{x}\)
  2. \(x^{2}\)
  3. Both (A) and (B)
  4. None of these

Answer

(C) Both (A) and (B)

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