Respuesta :

[tex]5x^3\text{ +}\frac{9}{x\text{ }}[/tex]

Explanation

[tex]\begin{gathered} \frac{5x^4+9}{x} \\ \end{gathered}[/tex]

Step 1

Split the fraction

[tex]\frac{5x^4+9}{x}=\frac{5x^4}{x}+\frac{9}{x}[/tex]

Step 2

Simplify:

[tex]\begin{gathered} \frac{5x^4}{x}+\frac{9}{x}=5x^{4-1}\text{ +}\frac{9}{x\text{ }} \\ \frac{5x^4}{x}+\frac{9}{x}=5x^3\text{ +}\frac{9}{x\text{ }} \\ 5x^3\text{ +}\frac{9}{x\text{ }} \end{gathered}[/tex]

so,the answer is

[tex]5x^3\text{ +}\frac{9}{x\text{ }}[/tex]

I hope this helps you