Expand the expression \(\left(x^{2}-2 x-3\right)\left(x^{2}+x+1\right)\).
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Correct Answer: Option C
Explanation:
\begin{aligned}
&\left(x^{2}-2 x-3\right)\left(x^{2}+x+1\right) \\
&x^{4}+x^{2}+x^{2}-2 x^{2}-2 x^{2}-2 x-3 x^{2}-3 x-3 \\
&=x^{4}-x^{2}-4 x^{-2}-5 x-3
\end{aligned}
\begin{aligned}
&\left(x^{2}-2 x-3\right)\left(x^{2}+x+1\right) \\
&x^{4}+x^{2}+x^{2}-2 x^{2}-2 x^{2}-2 x-3 x^{2}-3 x-3 \\
&=x^{4}-x^{2}-4 x^{-2}-5 x-3
\end{aligned}