1.4 Lösning 6c

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\( \left({2\,a - 4 \over a^2}\right)\, \Bigg / \,\left({a^2 - 4 \over a^4}\right) \; = \; \left({2\,a - 4 \over a^2}\right)\, \cdot \,\left({a^4 \over a^2 - 4}\right) \; = \; {(2\,a - 4) \cdot a^4 \over a^2 \cdot (a^2 - 4)} \; = \; \)


\( = \; {(2\,a - 4) \cdot a^2 \over (a^2 - 4)} \; = \; {2\,(a - 2) \cdot a^2 \over (a + 2) \cdot (a-2)} \; = \; {2\,a^2 \over (a + 2)} \; = \; \)