Wiskunde Multiple Choice Vraag

$\frac{\frac xy-\frac yx}{x+y}$ kan vereenvoudigd worden tot	A. \(\frac{-1}{x\,+\,y}\)
	B. \(\frac{x\,-\,y}{x\,+\,y}\)
	C. \(\frac{x\,-\,y}{xy}\)
	D. \(\frac{xy}{x\,-\,y}\)
	E. \(\frac{x\,-\,y}{xy(x+\,y)}\)

[ B-5394 - op net sinds 4.9.2025-(E)- ]

Translation in E N G L I S H

$\frac{\frac xy-\frac yx}{x+y}$ can be simplified to	A. \(\frac{-1}{x\,+\,y}\)
	B. \(\frac{x\,-\,y}{x\,+\,y}\)
	C. \(\frac{x\,-\,y}{xy}\)
	D. \(\frac{xy}{x\,-\,y}\)
	E. \(\frac{x\,-\,y}{xy(x+\,y)}\)

Oplossing - Solution

$\frac{\frac xy-\frac yx}{x+y}=\frac{\frac{x^2-y^2}{yx}}{x+y}=\frac{(x-y)(x+y)}{yx}.\frac{1}{x+y}=\frac{x-y}{xy}$

GWB