Question

Помогите пожалуйста срочно одам все баллы!!!​

Answer 1

Объяснение:

1. a) $\frac{6x}{2x(x-3)}=\frac{3}{x-3}$

b) $\frac{12(x+y)}{12(3x^{2}-3y^{2} ) } =\frac{x+y}{3(x^{2}y^{2}) } =\frac{x+y}{3(x-y)(x+y)} =\frac{1}{3x-3y}$

2. c) $\frac{3}{14(x-y)} -\frac{2}{21(x-y)}=\frac{5}{42(x-y)}=\frac{5}{42x-42y}$

d) $\frac{2-3y}{(y-3)(y+3)}+\frac{5-2y}{y-3} = \frac{2-3y+5y-2y^{2}+15-6y }{y^{2}-9 } = \frac{17-4y-2y^{2} }{y^{2}-9 } = \frac{-2y^{2}-4y+17 }{y^{2}-9 }$

3. $\frac{(x-y)(x+y)}{5x^{2} } * \frac{25x}{x^{2} -2xy+y^{2} } = \frac{(x-y)(x+y)}{x} * \frac{5}{(x-y)^{2} } = \frac{x+y}{x} * \frac{5}{x-y} = \frac{5(x+y)}{x(x-y)}= \frac{5x+5y}{x^{2}- xy}$

$\frac{10+5}{4-2} = \frac{15}{2} = 7.5$