[tex]\bf \left(x^2-\cfrac{2}{\sqrt{x}}+1 \right)(\sqrt[3]{x}+3x-4)\quad
\begin{cases}
\frac{2}{\sqrt{x}}\implies \frac{2}{x^{\frac{1}{2}}}\implies 2x^{-\frac{1}{2}}\\\\
\sqrt[3]{x}\implies x^{\frac{1}{3}}
\end{cases}
\\\\\\
(x^2-2x^{-\frac{1}{2}}+1)(x^{\frac{1}{3}}+3x-4)[/tex]
[tex]\bf \\\\\\
\begin{cases}
x^2\cdot x^{\frac{1}{3}}+3x^3-4x^2\\\\
-2x^{-\frac{1}{2}}\cdot x^{\frac{1}{3}}-2x^{-\frac{1}{2}}\cdot 3x+2x^{-\frac{1}{2}}\cdot 4\\\\
+x^{\frac{1}{3}}+3x-4
\end{cases}
\\\\\\
\begin{cases}
x^{2+\frac{1}{3}}+3x^3-4x^2\\\\
-2x^{-\frac{1}{2}+\frac{1}{3}}-6x^{-\frac{1}{2}+1}+8x^{-\frac{1}{2}}\\\\
+x^{\frac{1}{3}}+3x-4
\end{cases}[/tex]
[tex]\bf x^{\frac{7}{3}}+3x^3-4x^2-2x^{-\frac{1}{6}}-6x^{\frac{1}{2}}+8x^{-\frac{1}{2}}+x^{\frac{1}{3}}+3x-4
\\\\\\
\sqrt[3]{x^7}+3x^3-4x^2-\cfrac{2}{x^{\frac{1}{6}}}-6\sqrt{x}+\cfrac{8}{x^{\frac{1}{2}}}+\sqrt[3]{x}+3x-4
\\\\\\
x^2\sqrt[3]{x}+3x^3-4x^2-\cfrac{2}{\sqrt[6]{x}}-6\sqrt{x}+\cfrac{8}{\sqrt{x}}+\sqrt[3]{x}+3x-4[/tex]
