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

Question

Represent the following mixed infinite decimal periodic fractions as common fractions-displaystyle- frac-a - a-2-a-1-2- - a-1-2- - frac-2-a-3-2- - frac-1 - a-2-a-1-2- - a-1-2-

Toppr Admin · Accepted Answer

Represent the following mixed infinite decimal periodic fractions as common fractions:a−a2a1/2−a−1/2−2a3/2−1−a−2a1/2+a−1/2

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