Question

(100б) СОР.Выполните действия

Answer 1

Ответ:

а)

$\frac{14x - 9}{17x} + \frac{3x - 25}{17x} = \frac{14x - 9 + 3x - 25}{17x} = \frac{17x - 34}{17x} = \frac{17(x - 2)}{17x} = \frac{x - 2}{x}$

б)

$\frac{3}{5a} - \frac{5}{4a} = \frac{12}{20a} - \frac{25}{20a} = - \frac{ 13}{20a}$

в)

$\frac{ax + ay}{xy {}^{3} } \times \frac{x {}^{3} y}{8x + 8y} = \frac{a(x + y)}{xy {}^{3} } \times \frac{x {}^{3} y}{8(x + y)} = \frac{a}{y {}^{2} } \times \frac{x {}^{2} }{8} = \frac{ax {}^{2} }{8y {}^{2} }$

г)

$( \frac{4c {}^{5} }{7b {}^{3} } ) {}^{2} = \frac{16c {}^{10} }{49b {}^{6} }$