Quantitative Aptitude Algebra Identities

If a = \(\frac{\sqrt{3}+1}{\sqrt{3}−1}\) and b = \(\frac{\sqrt{3}−1}{\sqrt{3}+1}\) then the value of \(\rm\left[\frac{a^2+ab+b^2}{a^2−ab+b^2}\right]\) is _______ .

1
\(\frac{13}{15}\)
2
\(\frac{15}{13}\)
3
\(\frac{7}{8}\)
4
\(\frac{8}{7}\)

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