Question

Пж, помогите решить, окей? Пж.

Answer 1

1.

$\frac{18 {a}^{4} }{24 {a}^{2} b} = \frac{3 {a}^{2} }{4b}$

2.

$y(4y - 6)≠0$

$y≠0 \: \: \: \: \: 4y - 6≠0$

$\: \: \: \: \: \: \: \: \: \: \: \: \: y≠ \frac{6}{4} ≠1.5$

Ответ: (–∞ ; 0) U (0 ; 1,5) U (1,5 ; +∞)

3.

$\frac{a + 5b}{ {a}^{2} + 10ab + 25 {b}^{2} } = \frac{a + 5b}{(a + 5b)^{2} } = \frac{1}{a + 5b}$

Подставим значения а = 10, b = 3

$\frac{1}{10 + 5 \times 3} = \frac{1}{25} = 0.04$

4.

$\frac{4x}{y} + \frac{x - 2}{3y} = \frac{12x + x - 2}{3y} = \frac{13x - 2}{3y}$

$\frac{5}{ {a}^{2} - 9} - \frac{3}{a + 3} = \frac{5}{(a - 3)(a + 3)} - \frac{3}{a + 3} = \frac{5 - 3(a - 3)}{(a - 3)(a + 3)} = \frac{5 - 3a + 9}{(a - 3)(a + 3)} = \frac{14 - 3a}{(a - 3)(a + 3)}$

5.

$\frac{m - 3}{m + 6} \times \frac{ {m}^{2} + 12m + 36}{4m - 12} \div \frac{6n + mn}{8} = \frac{m - 3}{m + 6} \times \frac{(m + 6) ^{2} }{4(m - 3)} \times \frac{8}{n(6 + m)} = \frac{2}{n}$