Question

Expand : ${\displaystyle {(2\text{x}-\frac{1}{2\text{x}})}^2}$

Answer 1

${\displaystyle {(2\text{x}-\frac{1}{2\text{x}})}^2={\left(2\text{x}\right)}^2+{\left(\frac{1}{2\text{x}}\right)}^2-2\times 2\text{x}\times \frac{1}{2\text{x}}}$

${\displaystyle =4{\text{x}}^2+\frac{1}{4{\text{x}}^2}-2}$