Question

In the expansion of ${(x^3+3.2^{{\log }_{\sqrt{2}}\sqrt{x^3}})}^{11}$

• A. there appears a term with the power $x^2$
• B. there does not appear a term with the power $x^2$
• C. there appears a term with the power $x^{-3}$
• D. the ratio of the coefficient of $x^3$ to that of $x^{-3}$ is $1/3$

Answer 1

Answer: (B), (C), (D)

The correct options are
B there does not appear a term with the power $x^2$
C there appears a term with the power $x^{-3}$
D the ratio of the coefficient of $x^3$ to that of $x^{-3}$ is $1/3$