The coefficient of $x^{2012}$ in the expansion of $(1-x)^{2008}\left(1+x+x^2\right)^{2007}$ is equal to
$0$
$11$
$2$
$3$
In the expansion of ${\left( {2{x^2} - \frac{1}{x}} \right)^{12}}$, the term independent of x is
Write the general term in the expansion of $\left(x^{2}-y x\right)^{12}, x \neq 0$
The coefficient of $\frac{1}{x}$ in the expansion of ${\left( {1 + x} \right)^n}{\left( {1 + \frac{1}{x}} \right)^n}$ is :-
Find the cocfficient of $a^{5} b^{7}$ in $(a-2 b)^{12}$
The largest term in the expansion of ${(3 + 2x)^{50}}$ where $x = \frac{1}{5}$ is