Question

Simplify

$(\sqrt{x}-3x)(x+\frac{1}{x})$

Answer 1

Given,

$(\sqrt{x}-3x)(x+\frac{1}{x})$

$=\sqrt{x}x+\sqrt{x}\frac{1}{x}+(-3x)x+(-3x)\frac{1}{x}$

$=x\sqrt{x}+\frac{1}{\sqrt{x}}-3x^2-3$