AP EAMCET · Maths · Binomial Theorem
The coefficient of \(x^4\) in the expansion of \(\left(1+x-x^2-x^3\right)^{11}\) is
- A 990
- B 220
- C − 220
- D − 385
Answer & Solution
Correct Answer
(C) − 220
Step-by-step Solution
Detailed explanation
\[ \begin{array}{ll} & \left(1+x-x^2-x^3\right)^{11} \\ \Rightarrow & {\left[1(1+x)-x^2(1+x)\right]^{11}} \\ \Rightarrow & {\left[\left(1-x^2\right)(1+x)\right]^{11}} \\ \Rightarrow & {\left[(1-x)(1+x)^2\right]^{11}} \\ \Rightarrow & (1-x)^{11} \cdot(1+x)^{22} \end{array} \] The…
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