Question Number 96008 by 6532 last updated on 29/May/20
$$\frac{\mathrm{1}−\frac{\mathrm{1}}{\mathrm{a}}}{\mathrm{a}^{\mathrm{2}} −\frac{\mathrm{1}}{\mathrm{a}^{\mathrm{2}} }} \\ $$
Commented by john santu last updated on 29/May/20
$$\frac{{a}^{\mathrm{2}} −{a}}{{a}^{\mathrm{4}} −\mathrm{1}}\:=\:\frac{{a}\left({a}−\mathrm{1}\right)}{\left({a}−\mathrm{1}\right)\left({a}+\mathrm{1}\right)\left({a}^{\mathrm{2}} +\mathrm{1}\right)} \\ $$$$=\:\frac{{a}}{\left({a}+\mathrm{1}\right)\left({a}^{\mathrm{2}} +\mathrm{1}\right)}\: \\ $$