Question

Упростите выражение
(3a/a+6 - 2a/a²+12a+36) : 3a+16/a²-36 +
6(a-6)/a+6

Answer 1

$( \frac{3a}{a + 6} - \frac{2a}{ {(a + 6)}^{2} } ) \div \frac{3a + 16}{(a + 6)(a - 6)} + \frac{6(a - 6)}{a + 6} = ( \frac{3a(a + 6) - 2a}{ {(a + 6)}^{2} } -$

$\frac{3 {a}^{2} + 18a - 2a}{ {(a + 6)}^{2} }) \times \frac{(a + 6)(a - 6)}{3a + 16} + \frac{6(a - 6)}{a + 6} = \frac{a( a- 6) + 6a - 36}{a + 6} = \frac{ {a}^{2} - 36}{a + 6} = a - 6$