The sum of 1x + y and 1x - y is?

Answer: Option B

$$\begin{array}{rl}& \text{According to the question,}\\ & \frac{1}{x+y}+\frac{1}{x-y}\\ & =\frac{x-y+x+y}{x^2-y^2}\\ & =\frac{2x}{x^2-y^2}\end{array}$$