Question 10
If
$$
\begin{aligned} &\frac{a}{10^x-1}+\frac{b}{10^x+2}\\ &\qquad=\frac{2\cdot10^x+3} {(10^x-1)(10^x+2)} \end{aligned}
$$
is an identity for positive rational values of $x,$ then the value of $a-b$ is:
$$
\begin{aligned} &\frac{a}{10^x-1}+\frac{b}{10^x+2}\\ &\qquad=\frac{2\cdot10^x+3} {(10^x-1)(10^x+2)} \end{aligned}
$$
is an identity for positive rational values of $x,$ then the value of $a-b$ is: