Binomial Theorem And Its Simple Applications Question 195

Question: Middle term in the expansion of $ {{(1+3x+3x^{2}+x^{3})}^{6}} $ is

[MP PET 1997]

Options:

A) $ 4^{th} $

B) $ 3^{rd} $

C) $ 10^{th} $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ {{(1+3x+3x^{2}+x^{3})}^{6}}={{{{{(1+x)}^{3}}}}^{6}}={{(1+x)}^{18}} $

Hence the middle term is $ 10^{th} $ .