Wiskunde Multiple Choice Vraag

$\left(\frac1x+1\right)\textbf{:}\left(\frac1x-1\right)=$	A. 1
	B. − 1
	C. $-\frac1x$
	D. $\frac{1}{x-1}$
	E. $\frac{1}{1-x}$

[ B-1771 - op net sinds 15.9.2024-(E)- ]

Translation in E N G L I S H

See above

Oplossing - Solution

$\left(\frac1x+1\right)\textbf{:}\left(\frac1x-x\right)=\frac{1+x}{x}\textbf{:}\frac{1-x^2}{x}=\frac{1+x}{x}.\frac{x}{1-x^2}=\frac{1+x}{(1+x)(1-x)}=\frac{1}{1-x}$