Question

Помогите пожалуйста))) ​

Answer 1

Ответ:

1.

$\frac{3 {a}^{2} - 27 }{4 {a}^{2} + 2} \times ( \frac{6a + 1}{a - 3} + \frac{6a - 1}{a + 3} ) = \\ \frac{3(a - 3)(a + 3)}{2(2 {a}^{2} + 1)} \times ( \frac{(6a + 1)(a + 3) + (6a - 1)(a - 3)}{(a - 3)(a + 3)} ) = \\ \frac{3(a - 3)(a + 3)}{2(2 {a}^{2} + 1)} \times \frac{6 {a}^{2} + 18a + a + 3 + 6 {a}^{2} - 18a - a + 3 }{(a - 3)(a + 3)} = \\ \frac{3(a - 3)(a + 3)}{2(2 {a}^{2} + 1)} \times \frac{12{a}^{2} + 6 }{(a - 3)(a + 3)} = \\ \frac{3(a - 3)(a + 3)}{2(2 {a}^{2} + 1)} \times \frac{6(2{a}^{2} + 1)}{(a - 3)(a + 3)} = \\ \frac{3}{2} \times 6 =9$