Question

Упростите выражение (2a/a+2+2a-6-3a+8a/a^2-4):a-4/a-2​

Answer 1

Объяснение:

$( \frac{2a}{a + 2} + \frac{2a}{6 - 3a} + \frac{8a}{ {a}^{2} - 4 } ) \div \frac{a - 4}{a - 2} = \frac{4a}{ - 6 + 3a} \div \frac{a - 4}{a - 2} = \frac{4a(a - 2)}{ ( - 6 + 3a)(a - 4)} = \frac{4 {a}^{2} - 8a }{3 {a}^{2} - 18a + 24 } = \frac{4a(a - 2)}{3(a - 2)(a - 4)} = \frac{4a}{3(a - 4)} = \frac{4a}{3a - 12}$