Question

Упростите выражение
(a2-4)/a *1/(a+2) - (a+2)/a

Answer 1

$\frac{a^{2}-4}{a} *\frac{1}{a+2} -\frac{a+2}{a} =\frac{(a+2)(a-2)}{a*(a+2)}-\frac{a+2}{a} =\frac{a-2}{a} -\frac{a+2}{a} =\frac{a-2-a-2}{a} =\frac{-4}{a}$

Ответ:$\frac{-4}{a}$

Answer 2

$\frac{(a - 2)(a + 2)}{a} \times \frac{1}{a + 2} - \frac{a + 2}{a} = \\ = \frac{a - 2}{a} \times \frac{1}{1} - \frac{a + 2}{a} = \\ = \frac{a - 2 - a - 2}{a} = - \frac{4}{a}$
Ответ: -4/а