当[(a+2b)/(a-2b)]=2时,代数式[(a+2b)/(a-2b)]+[(3a-6b)/(4a+8b)]的值为_______.

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当[(a+2b)/(a-2b)]=2时,代数式[(a+2b)/(a-2b)]+[(3a-6b)/(4a+8b)]的值为_______.
当[(a+2b)/(a-2b)]=2时,代数式[(a+2b)/(a-2b)]+[(3a-6b)/(4a+8b)]的值为_______.

当[(a+2b)/(a-2b)]=2时,代数式[(a+2b)/(a-2b)]+[(3a-6b)/(4a+8b)]的值为_______.
因为[(a+2b)/(a-2b)]=2
所以[(a+2b)/(a-2b)]+[(3a-6b)/(4a+8b)]
=2+[3(a-2b)]/[4(a+2b)]
=2+3/4×(a-2b)/(a+2b)
=2+3/4×1/2
=2+3/8
=19/8