Binomial Theorem And Its Simple Applications Question 187
Question: The sum of the coefficients in the expansion of $ {{(1+x-3x^{2})}^{3148}} $ is
[Karnataka CET 2003]
Options:
A) 7
B) 8
C) - 1
D) 1
Show Answer
Answer:
Correct Answer: D
Solution:
- In the expression $ {{(1+x-3x^{2})}^{3148}} $ the sum of coefficients is obtained by putting x = 1.
Sum of coefficients = $ {{(1+1-{{3.1}^{2}})}^{3148}} $ = $ {{(2-3)}^{3148}} $ = $ {{(-1)}^{3148}} $ = 1.
BETA
