The sum of $$\frac{1}{{x + y}}$$ and $$\frac{1}{{x - y}}$$ is?
A. $$\frac{{2y}}{{{x^2} - {y^2}}}$$
B. $$\frac{{2x}}{{{x^2} - {y^2}}}$$
C. $$\frac{{ - 2y}}{{{x^2} - {y^2}}}$$
D. $$\frac{{2x}}{{{y^2} - {x^2}}}$$
Answer: Option B
Solution (By Examveda Team)
$$\eqalign{ & {\text{According to the question,}} \cr & \frac{1}{{x + y}} + \frac{1}{{x - y}} \cr & = \frac{{x - y + x + y}}{{{x^2} - {y^2}}} \cr & = \frac{{2x}}{{{x^2} - {y^2}}} \cr} $$This Question Belongs to Arithmetic Ability >> Algebra
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