Giải thích các bước giải:
\(\begin{array}{l}
A = \dfrac{{x\left( {x + 1} \right)}}{{{{\left( {x - 1} \right)}^2}}}:\left( {\dfrac{{x + 1}}{x} + \dfrac{1}{{x - 1}} + \dfrac{{2 - {x^2}}}{{x\left( {x - 1} \right)}}} \right)\\
= \dfrac{{x\left( {x + 1} \right)}}{{{{\left( {x - 1} \right)}^2}}}:\dfrac{{{x^2} - 1 + x + 2 - {x^2}}}{{x\left( {x - 1} \right)}}\\
= \dfrac{{x\left( {x + 1} \right)}}{{{{\left( {x - 1} \right)}^2}}}.\dfrac{{x\left( {x - 1} \right)}}{{\left( {x + 1} \right)}}\\
= \dfrac{{{x^2}}}{{x - 1}}\\
x = 5 \Rightarrow A = \dfrac{{{5^2}}}{{5 - 1}} = \dfrac{{25}}{4}
\end{array}\)
