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The sum of frac 1 x + y &nbsp and frac...

This question belongs to Arithmetic Ability Algebra
Algebra
?

The sum of $$\frac{1}{{x + y}}$$  and $$\frac{1}{{x - y}}$$  is?

Answer & Solution
Correct Answer: Option B
$$\eqalign{ & {\text{According to the question,}} \cr & \frac{1}{{x + y}} + \frac{1}{{x - y}} \cr & = \frac{{x - y + x + y}}{{{x^2} - {y^2}}} \cr & = \frac{{2x}}{{{x^2} - {y^2}}} \cr} $$
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