Question

The coefficient of $x^{-10}$ in $\left(x^{2} - \frac{1}{x^{3}}\right)^{10}$ is

• A. $-252$
• B. $-210$
• C. $-(5!)$
• D. $-120$

Answer 1

Answer: (D)

$-120$

Answer 2

Let the term containing $x^{-10}$ in the expansion of $\left(x^{2} - \frac{1}{x^{3}}\right)^{10}$ is $T_{r+1}$