Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\frac{(a-b)^2.(a^2-b^2)}{(a+b)^2.(a-b)^3}$ is gelijk aan	A. \(\boldsymbol{\frac {1} {a\,+\,b} }\)
	B. \(\boldsymbol{\frac {1} {a\,-\,b} }\)
	C. \(\boldsymbol{\frac {1} {\,a^2\,-\:b^2} }\)
	D. \(\boldsymbol{\frac {1} {(a\,-\,b)^2} }\)
	E. a − b
	F. \(\boldsymbol{\frac {a\,-\,b} {(a\,+\,b)^2} }\)
	G. \(\boldsymbol{\frac {a\,-\,b} {a\,+\,b} }\)

[ 3-6082 - op net sinds 1.3.14-(E)-2.11.2023 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\dpi{110}\frac{(a-b)^2.(a^2-b^2)}{(a+b)^2.(a-b)^3}$ ^{is equal to} See above

Oplossing - Solution

$\frac{(a-b)^2(a^2-b^2)}{(a+b)^2(a-b)^3}= \frac{(a-b)(a-b)(a-b)(a+b)}{(a+b)(a+b)(a-b)^3}=\frac{1}{a+b}$

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