32. Сократите дроби: а) (y²−16)/(3y+12); б) (5x−15y)/(x²−9y²); в) (c+2)²/(7c²+14c); г) (6cd−18c)/(d−3)²; д) (a²+10a+25)/(a²−25); е) (y²−9)/(y²−6y+9).

а) \(\frac{y^2-16}{3y+12}=\frac{(y-4)(y+4)}{3(y+4)}=\frac{y-4}{3}\).

б) \(\frac{5x-15y}{x^2-9y^2}=\frac{5(x-3y)}{(x-3y)(x+3y)}=\frac{5}{x+3y}\).

в) \(\frac{(c+2)^2}{7c^2+14c}=\frac{(c+2)^2}{7c(c+2)}=\frac{c+2}{7c}\).

г) \(\frac{6cd-18c}{(d-3)^2}=\frac{6c(d-3)}{(d-3)^2}=\frac{6c}{d-3}\).

д) \(\frac{a^2+10a+25}{a^2-25}=\frac{(a+5)^2}{(a-5)(a+5)}=\frac{a+5}{a-5}\).

е) \(\frac{y^2-9}{y^2-6y+9}=\frac{(y-3)(y+3)}{(y-3)^2}=\frac{y+3}{y-3}\).

Ответ: а) \(\frac{y-4}{3}\); б) \(\frac{5}{x+3y}\); в) \(\frac{c+2}{7c}\); г) \(\frac{6c}{d-3}\); д) \(\frac{a+5}{a-5}\); е) \(\frac{y+3}{y-3}\).