Question

a/a-3 : a^2+2a/a^2-9 - a/a+2

Answer 1

Ответ:

$\frac{a}{a - 3} \div \frac{a {}^{2} + 2a }{a {}^{2} - 9} - \frac{a}{a + 2} = \frac{a}{a - 3} \times \frac{a {}^{2} - 9}{a {}^{2} - 2a} - \frac{a}{a + 2} = \frac{a + 3}{a + 2} - \frac{a}{a + 2} = \frac{a + 3 - a}{a + 2} = \frac{3}{a + 2}$