29. Разложите на множители числитель и знаменатель дроби и сократите её: а) \(\dfrac{3a+12b}{6ab}\); б) \(\dfrac{15b-20c}{10b}\); в) \(\dfrac{2a-4}{3(a-2)}\); г) \(\dfrac{5x(y+2)}{6y+12}\); д) \(\dfrac{a-3b}{a^2-3ab}\); е) \(\dfrac{3x^2+15xy}{x+5y}\).

1. \(\dfrac{3(a+4b)}{6ab}=\dfrac{a+4b}{2ab}\).
2. \(\dfrac{5(3b-4c)}{10b}=\dfrac{3b-4c}{2b}\).
3. \(\dfrac{2(a-2)}{3(a-2)}=\dfrac23\).
4. \(\dfrac{5x(y+2)}{6(y+2)}=\dfrac{5x}{6}\).
5. \(\dfrac{a-3b}{a(a-3b)}=\dfrac1a\).
6. \(\dfrac{3x(x+5y)}{x+5y}=3x\).

Ответ: а) \(\dfrac{a+4b}{2ab}\); б) \(\dfrac{3b-4c}{2b}\); в) \(\dfrac23\); г) \(\dfrac{5x}{6}\); д) \(\dfrac1a\); е) \(3x\).