Wiskunde Multiple Choice Vraag

$\frac{m^{-2}-1}{m^{-1}+1}=$	A. $\frac{1\,+\,m}{m}$
	B. $\frac{1\,-\,m}{m}$
	C. $m-1$
	D. $\frac{m\,-\,1}{m}$
	D. $\small geen\;van\;de\;vorige$

[ B-6964 - op net sinds 31.10.2025-(E)- ]

Translation in E N G L I S H

IN CONSTRUCTION

Oplossing - Solution

$\frac{m^{-2}-1}{m^{-1}+1}=\frac{\frac{1}{m^2}-1}{\frac{1}{m}+1}=\frac{\frac{1-m^2}{m^2}}{\frac{1+m}{m}}=\frac{1-m^2}{m^2}.\frac{m}{1+m}=\frac{(1-m)(1+m)}{m^2}.\frac{m}{1+m}=\frac{1-m}{m}$

$\frac{m^{-2}-1}{m^{-1}+1}=$	A. \(\frac{1\,+\,m}{m}\)
	B. \(\frac{1\,-\,m}{m}\)
	C. \(m-1\)
	D. \(\frac{m\,-\,1}{m}\)
	D. \(\small geen\;van\;de\;vorige\)