Question

factorise x power 6 - 1 /x power 6
$x {}^{2} - y {}^{2}$

Answer 1

Supposing that I understood your answer correctly
${x}^{6} - ( { \frac{1}{x}) }^{6} = 0$
${x}^{6} - \frac{1}{ {x}^{6} }$
By taking LCM

$\frac{ {x}^{12} - 1}{ {x}^{6} } = 0$
${x}^{12} - 1 = {x}^{6} \times 0 \\ {x}^{12} - 1 = 0 \\ {x}^{ 12} = 1 \\ x = \sqrt[12]{1} \\ x = 1$
Hope it helps