Question

x
${x}^{2} + \frac{1}{ {x}^{2} } - 11$
Can anyone please find the answer for this question .I will mark your answer as brainliest.​

Answer 1

x² + 1/x² - 11

= x² + 1/x² - 2 - 9

= x² + 1/x² - 2×(x)×(1/x) - 9

[ since, (x)×(1/x) = 1 ]

= ( x - 1/x )² - 3²

= ( x - 1/x + 3 ) ( x - 1/x - 3)