g/ \(\left(x-1\right)^3-x\left(x-2\right)^2-\left(x-2\right)=0\)
\(\Leftrightarrow\left(x^3-3x^2+3x-1\right)-x\left(x^2-4x+4\right)-\left(x-2\right)=0\)
\(\Leftrightarrow x^3-3x^2+3x-1-x^3+4x^2-4x-x+2=0\)
\(\Leftrightarrow x^2-2x+1=0\)
\(\Leftrightarrow\left(x-1\right)^2\)
\(\Leftrightarrow x=1\)
h) \(x^2-5x+6=0\)
\(\Leftrightarrow\left(x-3\right)\left(x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=2\end{matrix}\right.\)
i) \(2x^3+5x^2-3x=0\)
\(\Leftrightarrow\left(2x-1\right)\left(x+3\right)x=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\frac{1}{2}\\x=-3\\x=0\end{matrix}\right.\)
