3
(3a-2)/(a+2)(a-6)=[x(a-6)+y(a+2)]/(a+2)(a_6)
3a-2=a(x+y)+(2y-6x)⇒
{x+y=3/*(-2)⇒-2x-2y=-6
{-6x+2y=-2
прибавим
-8x=-8
x=1
1+y=3
y=2
5
1)3b+60b/(3b-5)-5=(9b²-15b+60b-15b+25)/(3b-5)=(9b²+30b+25)/(3a-5)=
=(3a+5)²/(3a-5)
2)1-(9b²-33b+20)/(9b²-30b+25)=(9b²-30b+25-9b²+33b-20)/(3b-5)²=
=(3b+5)/(3b-5)²
3)(3b+5)²/(3b-5)*(3b-5)²/(3b+5)=(3b-5)(3b+5)=9b²-25
4)9b²-25+24=9b²-1