Question

Simplify ${(\frac{2}{x}-\frac{x}{2})}^2$

Answer 1

We have,

${(\frac{2}{x}-\frac{x}{2})}^2$

$=(\frac{2}{x}-\frac{x}{2})(\frac{2}{x}-\frac{x}{2})$

$=\frac{4}{x^2}-\frac{x}{2}\times \frac{2}{x}-\frac{2}{x}\times \frac{x}{2}+\frac{x^2}{4}$

$=\frac{4}{x^2}+\frac{x^2}{4}-2$

Hence, this is the answer.