Binomial Theorem And Its Simple Applications Question 105

Question: The sum of the coefficients in the expansion of $ {{(1+x-3x^{2})}^{2163}} $ will be

[IIT 1982]

Options:

A) 0

B) 1

C) $ -1 $

D) $ 2^{2163} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Putting x=1 in ($1+x- 3x^2$)2163.

we get sum of the coefficients as $ {{(1+1-3)}^{2163}}={{(-1)}^{2163}}=-1 $ .