The sum of the coefficients of the polynomial $\left(1+x-3 x^{2}\right)^{2163}$ is

Question

Professor PC Thomas Classes · Answer

$\left(1+x-3 x^{2}ight)^{2163}=a_{0}+a_{1} x+a_{2} x^{2}+\ldots$ $a_{2 n}\left(x^{2}ight)^{2163}$\ Put $x=1,(1+1-3)^{2163}$\ $=a_{0}+a_{1}+a_{2}+\ldots .$.\ $\Rightarrow \quad-1=$ sum of all the coefficients\