Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\frac{1-\frac 1a}{1-\frac{1}{a^2}}$ is gelijk aan	A. 1
	B. a
	C. a²
	D. $\large \boldsymbol{\frac {1} {a\,+\,1} }$
	E. $\large \boldsymbol{\frac {a} {a\,+\,1} }$
	F. $\large \boldsymbol{\frac {1} {a} }$

[ B-6080 - op net sinds 29.11.13-(E)-3.11.2023 ]

$https://latex.codecogs.com/png.image?\dpi{110}\frac{1-\frac 1a}{1-\frac{1}{a^2}}$ is equal to

$\frac{1-\frac 1a}{1-\frac{1}{a^2}}=\frac{\frac{a-1}{a}}{\frac{a^2-1}{a^2}} =\frac{a-1}{a}\cdot \frac{a^2}{(a-1)(a+1)}=\frac{a}{a+1}$