TS EAMCET · Maths · Binomial Theorem
The sum of the coefficients in the expansion of \(\left(1+x+x^2\right)^n\) is
- A \(1\)
- B \(2^n\)
- C \(3^n\)
- D \(4^n\)
Answer & Solution
Correct Answer
(C) \(3^n\)
Step-by-step Solution
Detailed explanation
We have, \(\left(1+x+x^2\right)^n\) Put \[ \begin{aligned} x & =1 \\ & =\left(1+1+1^2\right)^n=3^n \end{aligned} \]
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