a.\(A=\left(\dfrac{x^2-3}{x^2-9}+\dfrac{1}{x-3}\right):\dfrac{x}{x+3}\)
\(A=\left(\dfrac{x^2-3+\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}\right):\dfrac{x}{x+3}\)
\(A=\left(\dfrac{x^2-3+x+3}{\left(x-3\right)\left(x+3\right)}\right).\dfrac{x+3}{x}\)
\(A=\dfrac{\left(x^2+x\right)\left(x+3\right)}{x\left(x-3\right)\left(x+3\right)}=\dfrac{x\left(x+1\right)\left(x+3\right)}{x\left(x-3\right)\left(x+3\right)}=\dfrac{x+1}{x-3}\)
b.\(A=3\)
\(\Leftrightarrow\dfrac{x+1}{x-3}=3\)
\(\Leftrightarrow\dfrac{x+1}{x-3}=\dfrac{3\left(x-3\right)}{x-3}\)
\(\Leftrightarrow x+1=3\left(x-3\right)\)
\(\Leftrightarrow x+1=3x-9\)
\(\Leftrightarrow2x=10\)
\(\Leftrightarrow x=5\left(tm\right)\)
Vậy \(x=5\) thì \(A=3\)
