Выполните деление:
а)

\frac{m^{2} - 3 m}{8 x^{2}} : \frac{3 m}{8 x}

;
б)

\frac{5 a^{2}}{6 b^{3}} : \frac{a^{3}}{a b - b^{2}}

;
в)

\frac{x^{2} + x^{3}}{11 a^{2}} : \frac{4 + 4 x}{a^{3}}

;
г)

\frac{6 a x}{m^{2} - 2 m} : \frac{8 a x}{3 m - 6}

;
д)

\frac{a^{2} - 3 a b}{3 b} : (7 a - 21 b)

;
е)

(x^{2} - 4 y^{2}) : \frac{5 x - 10 y}{x}

;
ж)

(2 a - b)^{2} : \frac{4 a^{3} - a b^{2}}{3}

;
з)

(10 m - 15 n) : \frac{(2 m - 3 n)^{2}}{2 m}

Выполните деление: а) m 2 − 3 m 8 x 2 : 3 m 8 x ; б) 5 a 2 6 b 3 : a 3 a b − b 2 ; в) x 2 + x 3 11 a 2 : 4 + 4 x a 3 ; г) 6 a x m 2 − 2 m : 8 a x 3 m − 6 ; д) a 2 − 3 a b 3 b : ( 7 a − 21 b ) ; е) ...

\frac{m^{2} - 3 m}{8 x^{2}} : \frac{3 m}{8 x} = \frac{m (m - 3)}{8 x^{2}} * \frac{8 x}{3 m} = \frac{m - 3}{x} * \frac{1}{3} = \frac{m - 3}{3 x}

\frac{5 a^{2}}{6 b^{3}} : \frac{a^{3}}{a b - b^{2}} = \frac{5 a^{2}}{6 b^{3}} * \frac{a b - b^{2}}{a^{3}} = \frac{5 a^{2}}{6 b^{3}} * \frac{b (a - b)}{a^{3}} = \frac{5}{6 b^{2}} * \frac{a - b}{a} = \frac{5 (a - b)}{6 a b^{2}}

\frac{x^{2} + x^{3}}{11 a^{2}} : \frac{4 + 4 x}{a^{3}} = \frac{x^{2} (1 + x)}{11 a^{2}} * \frac{a^{3}}{4 (1 + x)} = \frac{x^{2}}{11} * \frac{a}{4} = \frac{a x^{2}}{44}

\frac{6 a x}{m^{2} - 2 m} : \frac{8 a x}{3 m - 6} = \frac{6 a x}{m (m - 2)} * \frac{3 (m - 2)}{8 a x} = \frac{3}{m} * \frac{3}{4} = \frac{9}{4 m}

\frac{a^{2} - 3 a b}{3 b} : (7 a - 21 b) = \frac{a (a - 3 b)}{3 b} * \frac{1}{7 (a - 3 b)} = \frac{a}{3 b} * \frac{1}{7} = \frac{a}{21 b}

(x^{2} - 4 y^{2}) : \frac{5 x - 10 y}{x} = (x - 2 y) (x + 2 y) * \frac{x}{5 (x - 2 y)} = (x + 2 y) * \frac{x}{5} = \frac{x (x + 2 y)}{5}

(2 a - b)^{2} : \frac{4 a^{3} - a b^{2}}{3} = (2 a - b)^{2} * \frac{3}{a (4 a^{2} - b^{2})} = (2 a - b)^{2} * \frac{3}{a (2 a - b) (2 a + b)} = (2 a - b) * \frac{3}{a (2 a + b)} = \frac{3 (2 a - b)}{a (2 a + b)}

(10 m - 15 n) : \frac{(2 m - 3 n)^{2}}{2 m} = 5 (2 m - 3 n) * \frac{2 m}{(2 m - 3 n)^{2}} = 5 * \frac{2 m}{2 m - 3 n} = \frac{10 m}{2 m - 3 n}