If x = 3 + 2$$\sqrt 2 $$ and xy = 1, then the value of $$\frac{{{x^2} + 3xy + {y^2}}}{{{x^2} - 3xy + {y^2}}}$$ is? Options: A . &nbsp$$\frac{{30}}{{31}}$$ B . &nbsp$$\frac{{70}}{{31}}$$ C . &nbsp$$\frac{{35}}{{31}}$$ D . &nbsp$$\frac{{37}}{{31}}$$

If x = 3 + 2$$\sqrt 2 $$ and xy = 1, then the value of $$\frac{{{x^2} + 3xy + {y

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If x = 3 + 2$$\sqrt 2 $$ and xy = 1, then the value of $$\frac{{{x^2} + 3xy + {y^2}}}{{{x^2} - 3xy + {y^2}}}$$ is?

Options:

A . $$\frac{{30}}{{31}}$$

B . $$\frac{{70}}{{31}}$$

C . $$\frac{{35}}{{31}}$$

D . $$\frac{{37}}{{31}}$$

Answer: Option D

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