Question

Решите пожалуйста примеры

Answer 1

Ответ:

1) $\frac{12}{5x}*\frac{x^3}{12a} = \frac{1}{5} * \frac{x^2}{a}= \frac{x^2}{5a}$

2)$\frac{14a^2b}{3x^3}*\frac{8x^2}{21a^2b}=\frac{2}{3x}*\frac{8}{3}=\frac{16}{9x}$

3)$\frac{x^2-xy}{y}*\frac{y^2}{x} = x(x-y)*\frac{y}{x} =(x-y)y=xy-y^2$

4)$\frac{a^2-1}{a-b}*\frac{7a-7b}{a^2+a} = \frac{(a-1)(a+1)}{a-b} * \frac{7(a-b)}{a(a+1)}= (a-1)*\frac{7}{a} = \frac{7a-7}{a}$

5)$\frac{ax+ay}{x^2-2xy+y^2}*\frac{x^2-xy}{7x+7y} = \frac{a(x+y)}{(x-y)^2} *\frac{x(x-y)}{7(x+y)}= \frac{a}{x-y} *\frac{x}{7}=\frac{ax}{7(x-y)}=\frac{ax}{7x-7y}$

6)$\frac{14}{9x^3} / \frac{7x}{2y^2}= \frac{14}{9x^3}*\frac{2y^2}{7x} = \frac{2}{9x^3} * \frac{2y^2}{x}=\frac{4y^2}{9x^4}$