If \(\frac{p}{q} = \frac{{x \;+ \;3}}{{x\; - \;3}}\) , then what is the value of \(\frac{{{p^2}\; +\; {q^2}}}{{{p^2}\; - \;{q^2}}}\)?

• A. \(\frac{{{x^2} \;+ \;9}}{{3x}}\)
• B. \(\frac{{{x^2} \;+ \;18}}{{6x}}\)
• C. \(\frac{{{x^2} \;+ \;18}}{{3x}}\)
• D. \(\frac{{{x^2}\; +\; 9}}{{6x}}\)