Wiskunde Multiple Choice Vraag

$\frac{\frac1x+\frac1y}{\frac1{x^2}-\frac1{y^2}}=$	A. $\frac{xy}{x-y}$
	B. $\frac{y-x}{xy}$
	C. $\frac{1}{x-y}$
	D. $xy\cdot(x-y)$
	E. $\frac{xy}{y-x}$

[ B-4781 - op net sinds .10.2024-(E)- ]

Translation in E N G L I S H

$\frac{\frac1x+\frac1y}{\frac1{x^2}-\frac1{y^2}}=$

Oplossing - Solution

$\frac{\frac1x+\frac1y}{\frac1{x^2}-\frac1{y^2}}=\frac{\frac{y+x}{xy}}{\frac{y^2-x^2}{x^2y^2}}=\frac{y+x}{xy}.\frac{x^2y^2}{(y-x)(y+x)}=\frac{xy}{y-x}$