Expandir la expresión (x/(2^(1/2))-3/4)(5x+2/3)

 Ejercicio

\left(\frac{x}{\sqrt{2}}-\frac{3}{4}\right)\left(5x+\frac{2}{3}\right)

 

Multiplicando polinomios $5x+\frac{2}{3}$ y $\frac{x}{\sqrt{2}}-\frac{3}{4}$

\left(5x+\frac{2}{3}\right)\frac{x}{\sqrt{2}}+\left(-\frac{3}{4}\right)\left(5x+\frac{2}{3}\right)

 

Multiplicando polinomios $\frac{x}{\sqrt{2}}$ y $5x+\frac{2}{3}$

\frac{5x^2}{\sqrt{2}}+\frac{2}{3}\frac{x}{\sqrt{2}}-\frac{3}{4}\left(5x+\frac{2}{3}\right)

 

Multiplicando polinomios $-\frac{3}{4}$ y $5x+\frac{2}{3}$

\frac{5x^2}{\sqrt{2}}+\frac{2}{3}\frac{x}{\sqrt{2}}-\frac{15}{4}x-\frac{3}{4}\cdot \frac{2}{3}

 

Multiplicando fracciones $\frac{x}{\sqrt{2}} \times \frac{2}{3}$

\frac{5x^2}{\sqrt{2}}+\frac{2x}{3\sqrt{2}}-\frac{15}{4}x-\frac{3}{4}\cdot \frac{2}{3}

 

Multiplicando fracciones $-\frac{3}{4} \times \frac{2}{3}$

\frac{5x^2}{\sqrt{2}}+\frac{2x}{3\sqrt{2}}-\frac{15}{4}x-\frac{1}{2}

\frac{5x^2}{\sqrt{2}}+\frac{2x}{3\sqrt{2}}-\frac{15}{4}x-\frac{1}{2}

 ¿Cómo debo resolver este problema?

¿No encuentras un método? Dinos para que podamos agregarlo.