Question

Плиз очень надо дам максимум балов)) ​

Answer 1

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

$\frac{(a {}^{2} - 1) {}^{2} }{x} = \frac{a {}^{2} - 1}{a {}^{3} + 1} \\ x = \frac{(a {}^{2} - 1) {}^{2}(a {}^{3} + 1)}{a {}^{2} - 1} \\ x = (a {}^{2} - 1)(a {}^{3} + 1) \\ x = {a}^{5} + {a}^{2} - a {}^{3} - 1$