Решение

а) \(\dfrac{39x^3y^2}{26x^2y^2}=\dfrac{3x}{2}\);
б) \(\dfrac{5y}{y^2-2y}=\dfrac{5}{y-2}\);
в) \(\dfrac{a^2-b^2}{3a-3b}=\dfrac{a+b}{3}\).

а) \(\dfrac{14p^4}{q^6}\cdot\dfrac{q^5}{56p^4}=\dfrac1{4q}\);
б) \(45a^3b\cdot\dfrac{c^2}{30a^4b}=\dfrac{3c^2}{2a}\);
в) \(\dfrac{3a-9}{a+2}:\dfrac{a^2-9}{a^2-4}=\dfrac{3(a-2)}{a+3}\).

\(\left(\dfrac{3x^2y}{2p^3}\right)^2=\dfrac{9x^4y^2}{4p^6}\).

\[ \dfrac{2}{x-4}-\dfrac{x+8}{x^2-16}-\dfrac1x =\dfrac{16}{x(x^2-16)}. \]

\[ \dfrac{p-q}{p}\left(\dfrac{p}{p-q}+\dfrac pq\right)=\dfrac pq. \]