If $$a = \frac{x}{{x + y}}$$ and $$b = \frac{y}{{x

Question

If $$a = \frac{x}{{x + y}}$$ and $$b = \frac{y}{{x - y}}{\text{,}}$$ then $$\frac{{ab}}{{a + b}}$$ is equal to = ?

Options:

A . $$\frac{{xy}}{{{x^2} + {y^2}}}$$

B . $$\frac{{{x^2} + {y^2}}}{{xy}}$$

C . $$\frac{x}{{x + y}}$$

D . $${\left( {\frac{y}{{x + y}}} \right)^2}$$

Answer: Option A

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