[a+2/a-2]-[a-2/a+2]-[8a/a²-4]=

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[a+2/a-2]-[a-2/a+2]-[8a/a²-4]=[a+2/a-2]-[a-2/a+2]-[8a/a²-4]=[a+2/a-2]-[a-2/a+2]-[8a/a²

[a+2/a-2]-[a-2/a+2]-[8a/a²-4]=
[a+2/a-2]-[a-2/a+2]-[8a/a²-4]=

[a+2/a-2]-[a-2/a+2]-[8a/a²-4]=
[a+2/a-2]-[a-2/a+2]-[8a/a²-4]
=[(a+2)²-(a-2)²-8a]/(a-2)(a+2)
=(a²+4a+4-a²+4a-4-8a)/(a-2)(a+2)
=0/(a-2)(a+2)
=0