Question 135
The expression $Z=5 a^{-x}\left(1-a^{-x}\right)^{-1}-3 a^{-x}\left(1+a^{-x}\right)^{-1}-2 a^{x}\left(a^{2 x}-1\right)^{-1}$ is given, where $a^{x} \neq 0,1,-1$.
a) Simplify the expression $Z$.
b) Compute the value of the expression $Z$ for $a=9^{b+c} \cdot 3^{2 b+c}: 27^{\frac{4}{3} b+c+\frac{1}{3}}$ and $x=1$.
a) Simplify the expression $Z$.
b) Compute the value of the expression $Z$ for $a=9^{b+c} \cdot 3^{2 b+c}: 27^{\frac{4}{3} b+c+\frac{1}{3}}$ and $x=1$.