Question

помогите пожалуйста!!!!!​

Answer 1

Объяснение:

1)

$\frac{2x - 3y}{6xy} + \frac{9y - 2x}{6xy} = \frac{2x - 3y + 9y - 2x}{6xy} = \frac{ - 3y + 9y}{6xy} = \frac{6y}{6xy} = \frac{y}{xy} = \frac{1}{x}$

2)

$\frac{7b - 3}{4b - 1} - \frac{3b - 2}{4b - 1} = \frac{7b - 3 - (3b - 2)}{4b - 1} = \frac{7b - 3 - 3b + 2}{4b - 1} = \frac{4b - 1}{4b - 1} = 1$

3)

$\frac{5m}{m - n} + \frac{5n}{n - m} = \frac{5m}{m - n} + \frac{5n}{ - (m - n)} = \frac{5m}{m - n} - \frac{5n}{m - n} = \frac{5m - 5n}{m - n} = \frac{5(m - n)}{m - n} = 5$

4)

$\frac{81 {b}^{2} }{9b - a} + \frac{a {}^{2} }{a - 9b} = \frac{81b {}^{2} }{ - (a - 9b)} + \frac{a {}^{2} }{a - 9b} = - \frac{81b {}^{2} }{a - 9b} + \frac{a {}^{2} }{a - 9b} = \frac{ - 81b {}^{2} + a {}^{2} }{a - 9b} = \frac{a { }^{2} - 81b {}^{2} }{a - 9b} = \frac{(a - 9b) \times (a + 9b)}{a - 9b} = a + 9b$

Буду благодарен за 5 звёзд и высокий балл