ППС. Выполнить действия: 1) \(\frac{a^2-ab}{b}\cdot\frac{b^2}{a}\); 2) \(\frac{ab+b^2}{9}\cdot\frac{3a}{b^2}\); 3) \(\frac{x^2+xy}{x}:\frac{xy+y^2}{y}\); 4) \(\frac{b}{ab+b^2}:\frac{a}{a^2+ab}\); 5) \(\frac{5y}{x^2}\cdot\frac{x^2-xy}{5y}\); 6) \(\frac{7a+7b}{5c^2}\cdot\frac{14c}{6b+6a}\); 7) \(\frac{x^2-2x}{a^3}\cdot\frac{5a^4}{x-2}\); 8) \(\frac{xy+y^2}{3}:\frac{y^3}{3x}\); 9) \(\frac{x-y}{x^3}\cdot\frac{x^3-x^2y}{x-y}\); 10) \(\frac{a^3-a^2b}{b-a}\cdot\frac{a-b}{a^2}\).

1. \(\frac{a(a-b)}{b}\cdot\frac{b^2}{a}=b(a-b)\).
2. \(\frac{b(a+b)}{9}\cdot\frac{3a}{b^2}=\frac{a(a+b)}{3b}\).
3. \(\frac{x(x+y)}{x}:\frac{y(x+y)}{y}=1\).
4. \(\frac{b}{b(a+b)}:\frac{a}{a(a+b)}=1\).
5. \(\frac{5y}{x^2}\cdot\frac{x(x-y)}{5y}=\frac{x-y}{x}\).
6. \(\frac{7(a+b)}{5c^2}\cdot\frac{14c}{6(a+b)}=\frac{49}{15c}\).
7. \(\frac{x(x-2)}{a^3}\cdot\frac{5a^4}{x-2}=5ax\).
8. \(\frac{y(x+y)}{3}\cdot\frac{3x}{y^3}=\frac{x(x+y)}{y^2}\).
9. \(\frac{x-y}{x^3}\cdot\frac{x^2(x-y)}{x-y}=\frac{x-y}{x}\).
10. \(\frac{a^2(a-b)}{b-a}\cdot\frac{a-b}{a^2}=b-a\).

Ответ: \(b(a-b);\ \frac{a(a+b)}{3b};\ 1;\ 1;\ \frac{x-y}{x};\ \frac{49}{15c};\ 5ax;\ \frac{x(x+y)}{y^2};\ \frac{x-y}{x};\ b-a\).