解:原式=[4(a-2)²+12(a+2)(a-2)-8(a-1)²(a-2)]÷[4(a-2)]
=[4(a-2)²]÷[4(a-2)]+[12(a+2)(a-2)]÷[4(a-2)]-[8(a-1)²(a-2)]÷[4(a-2)]
=(a-2)+3(a+2)-2(a-1)²
=a-2+3a+6-2a²+4a-2
=-2a²+(a+3a+4a)+(6-2)
=-2a²+8a+4
(a+2)分之(a²-4)+(a-2)×a-2
=(a+2)分之(a+2)(a-2)+(a²-2a)-2
=a-2+a²-2a-2
=a²-a-4
7/2-a
(a-2)(a+2)(a的平方+4)
=(a²-4)(a²+4)
=a的4次方-16
(a-2)²+4(a-1)=a²-4a+4+4a-4=a²
原式=a²-4a+4+2a²+8a-a-4
=3a²+3a
[a平方/(a-2) - 4/(a-2)]×1/(a平方+2a)
= (a平方-4)/(a-2) × 1/a(a+2)
= (a+2)(a-2)/(a-2)× 1/a(a+2)
=1/a
(a^2-4)(a^2-2a+4)(a^2+2a+4)=(a^2-4)[(a^2+4)^2-4a^2]=(a^2-4)[a^4+4a^2+16]=a^6+4a^4+16a^2-4a^4-16a^2-64=a^6-64(a^2-4)(a^2-2a+4)(a^2+2a+4)=(a+2)(a-2)(a^2-2a+4)(a^2+2a+4)=[(a+2)(a^2-2a+4)][(a-2)(a^2+2a+4)]=(a^3+8)(a^3-8)=a^6-64
a的平方-4/a的平方+2a-8a除以(a的平方-4)乘以a的平方-2a/a+2
=a(a+2)/(a+2)(a-2)-[8a/(a+2)(a-2)]*(a-2)/a(a-2)
=a/(a-2)-8/(a+2)(a-2)
=(a^2+2a-8)/(a+2)(a-2)
=(a+4)(a-2)/(a+2)(a-2)
=(a+4)/(a+2)
(1+a的平方-4分之4)除以a-2分之a
=[(a²-4+4)/(a²-4)]÷a/(a-2)
=[a²/(a+2)(a-2)]×(a-2)/a
=a/(a+2)
=(a+2)分之a