Represent the following mixed infinite decimal periodic fractions as common fractions:
$(\frac{\sqrt{2}}{(1 - x^{2})^{- 1}} + \frac{3^{3 / 2}}{x^{- 2}}) : {(\frac{x^{- 2}}{1 + x^{- 2}})}^{- 1}$

Question

Represent the following mixed infinite decimal periodic fractions as common fractions-displaystyleleft - frac-sqrt-2-1 - x-2-1- - frac-3-3-2-x-2- right - - left - frac-x-2-1 - x-2- right -1-

Toppr Admin · Accepted Answer

Represent the following mixed infinite decimal periodic fractions as common fractions:(√2(1−x2)−1+33/2x−2):(x−21+x−2)−1

Represent the following mixed infinite decimal periodic fractions as common fractions:
$(\frac{\sqrt{2}}{(1 - x^{2})^{- 1}} + \frac{3^{3 / 2}}{x^{- 2}}) : {(\frac{x^{- 2}}{1 + x^{- 2}})}^{- 1}$