\[ \begin{gather} \frac{4-3i}{(-1+i)}.\frac{(-1-i)}{-1-i}-\frac{1-i}{\sqrt{2}-i}.\frac{\left(\sqrt{2}+i\right)}{\left(\sqrt{2}+i\right)}\\[5pt] \frac{[4.(-1)+4.(-i)-3 i .(-1)-3 i .(-i)]} {[-1.(-1)-1.(-i)+ i .(-1)+ i. (-i)]} -\frac{\left[1.\sqrt{2}+1.i-i.\sqrt{2}- i . i\right]} {\left[\sqrt{2}.\sqrt{2}+\sqrt{2}.i-i.\sqrt{2}- i . i\right]}\\[5pt] \frac{[-4-4i+3i+3i^{2}]}{[1+i-i-i^{2}]}-\frac{\left[\sqrt{2}+i-\sqrt{2}\;i-i^{2}\right]}{\left[\left(\sqrt{2}\right)^{2}+\sqrt{2}\;i-\sqrt{2}`i.-i^{2}\right]} \end{gather} \]

\[ \begin{gather} \frac{[-4-i+3.(-1)]}{[1-(-1)]}-\frac{\left[\sqrt{2}+\left(1-\sqrt{2}\right)\;i-(-1)\right]}{[2-(-1)]}\\[5pt] \frac{[-4-i-3]}{[1+1]}-\frac{\left[\sqrt{2}+\left(1-\sqrt{2}\right)\;i+1\right]}{[2+1]}\\[5pt] \frac{-7-i}{2}-\frac{1+\sqrt{2}+\left(1-\sqrt{2}\right)\;i}{3}\\[5pt] -{\frac{7}{2}}-\frac{i}{2}-\frac{1+\sqrt{2}}{3}+\frac{\left(1-\sqrt{2}\right)\;i}{3}\\[5pt] \left[-{\frac{7}{2}}-\frac{1+\sqrt{2}}{3}\right]+\left[-{\frac{1}{2}}+\frac{\left(1-\sqrt{2}\right)}{3}\right]i\\[5pt] \left[\frac{-3.7-2.\left(1+\sqrt{2}\right)}{6}\right]+\left[\frac{-3.1+2.\left(1-\sqrt{2}\right)}{6}\right]i\\[5pt] \left[\frac{-21-2-2\sqrt{2}}{6}\right]+\left[\frac{-3-2+2\sqrt{2}}{6}\right]i \end{gather} \]