3a²-5a 2-6a² 6a-3其中a

解；∵3a2-a-2=0，∴3a2-a=2，∴5+2a-6a2=5-2（3a2-a）=5-2×2=1．故答案为：1．

∵a2+3a+1=0，∴a2+3a=-1，∴原式=3a3+（a2+5）（a2-1）-a（5a+6）=3a3+a4+4a2-5-5a2-6a=a4+3a3+4a2-5-5a2-6a=a2（a2+3a）+

a2-b2+a+5b-6=(a+1/2)^2-(b-5/2)^2不等于0(a+1/2)^2不等于(b-5/2)^2a+1/2不等于b-5/2a+3不等于

（a^2-9)/(a^2+6a+9)+(a-3)/(a^2+3a)-(a-a^2)/(a-1)=(a+3)(a-3)/(a+3)^2+(a-3)/[(a+3)a]+a(a-1)/(a-1)=(a-3)

∵实数a满足a2-2a-1=0，∴a2-2a=1，∴3a2-6a+5=3（a2-2a）+5=8．故答案为：8．

原式=[(a²-4)/(a²-4a+3)]×[(a-3)/(a²+3a+2)]={(a-2)(a+2)/[(a-1)(a-3)]}×{(a-3)/[(a+1)(a+2)]

(a²-a-6)/(a+2)-√(a²-2a+1)/(a²-a)=(a-3)(a+2)/(a+2)-(a-1)/[a(a-1)]=a-3-1/a=1/2+√3-3-1/(

证明：a²-b²+a+5b-6≠0a²+a+1/4-1/4-b²+5b-25/4+25/4-6≠0(a+1/2)²-(b-5/2)²≠0a+

(2a+6)/(a2-4a+4)×(a-2)/(a2+3a)-(1/a-2)=2(a+3)/(a-2)²×(a-2)/[a(a+3)]-1/(a-2)=2/[a(a-2)]-1/(a-2)=

括号打少一半,麻烦出了一堆4A+{2B-[5A-（3B-2C)+6B]+3C}=4A+[2B-(5A-3B+2C+6B)+3C]=4A+2B-5A+3B-2C-6B+3C=-A-B+C代入ABC原式=

4A+{2B-[5A-（3B-2C)+6B]+3C}=4A+{[2B-(5A-3B+2C+6B)]+3C}=4A+2B-5A+3B-2C-6B+3C=-A-B+C然后将A、B、C分别代入就行了

原式=(a²+4a+4-6-3a)/(a²+4a+4)×(a²+2a)/(4a-4)=(a+2)(a-1)/(a+2)²×a(a+2)/4(a-1)=a/4

∵a2-2a=3，∴3a2-6a-8=3（a2-2a）-8=3×3-8=1，∴3a2-6a-8的值为1．

(a-1)-(3a²-2a+1)=a-1-3a²+2a-1=-3a²+3a-2A=2(2-x)+1=4-2x+1=5-2x代入A-2b=x-15-2x-2b=x-12b=

(a^2+5a+2+1)(a^2+5a-2)-6=(a^2+5a+2)(a^2+5a-2)+a^2+5a-2-6=(a^2+5a)^2-4+a^2+5a-8=(a^2+5a)^2+a^2+5a-12=

∵a2-2a=-2，∴3a2-6a+3=3（a2-2a）2+3=3×（-2）+3=-3，故答案是-3．

(a2-1)/(a2+2a+1)除以(a2-a)/(a+1)(a-2/(a+3)除以(a2-4)/(a2+6a+9)=﹙a²-1﹚／﹙a²+2a+1﹚×﹙a+1﹚／﹙a²

(1)(4a³b-10b³)+(-3a²b²+10b³)＝4a³b-10b³－3a²b²+10b³＝

原式=5a2-[a2+5a2-2a-2a2+6a]=5a2-[4a2+4a]=5a2-4a2-4a=a2-4a．

(a2-a)a2-2a-3÷a(a-3)=a(a-1)(a+1)(a-3)×a-3a=a-1a+1当a=2+1时，原式=22+1+1=22+2=2-1．故填空答案：2-1．