\begin{questions}
\item $\begin{aligned}[t]
A(x)&=(2x-3)^2-(4x+1)(2x-3)\\
&=(2x-3)(2x-3-(4x+1))\\
&=(2x-3)(-2x-4)\\
&=-2(2x-3)(x+2).
\end{aligned}$

\item $\begin{aligned}[t]
B(x)&=(x+1)^2-(2x+3)^2\\
&=((x+1)-(2x+3))((x+1)+(2x+3))\\
&=(-x-2)(3x+4).
\end{aligned}$

\item $\begin{aligned}[t]
C(x)&=(x-1)(2+x)+(x+5)(1-x)\\
&=(x-1)(2+x)-(x+5)(x-1)\\
&=(x-1)(2+x-x-5)\\
&=-3(x-1).
\end{aligned}$

\item $\begin{aligned}[t]
D(x)&=x^3+x^2+x+1\\
&=x^2(x+1)+x+1\\
&=(x+1)(x^2+1).
\end{aligned}$

\item $E(x)=xy – x – y +1=x(y-1)-(y-1)=(y-1)(x-1)$.

\item $\begin{aligned}[t]
F(x)&=(5x+3)^2-11\\
&=(5x+3)^2-\sqrt{11}^2\\
&=(5x+3-\sqrt{11})(5x+3+\sqrt{11}).
\end{aligned}$

\item $\begin{aligned}[t]
G(x)&=(x-1)^2-2(x^2-1)\\
&=(x-1)^2-2(x-1)(x+1)\\
&=(x-1)(x-1-2(x+1))\\
&=(x-1)(-x-3).
\end{aligned}$
\end{questions}
