当a+2b/a-2b=2时,求代数式a+2b/2(a-2b)+3a+6b/4a-8b的值

当a+2b/a-2b=2时,求代数式a+2b/2(a-2b)+3a+6b/4a-8b的值
当a+2b/a-2b=2时,求代数式a+2b/2(a-2b)+3a+6b/4a-8b的值

当a+2b/a-2b=2时,求代数式a+2b/2(a-2b)+3a+6b/4a-8b的值
(a+2b)/(a-2b)=2
原式
=(a+2b)/2(a-2b)+3(a+2b)/4(a-2b)
=1/2×(a+2b)/(a-2b)+3/4×(a+2b)/(a-2b)
=1/2×2+3/4×2
=1+3/2
=5/2