(3/a-2+12/(a+2)(a-2))/(2/a-2-1/a+2)
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[3/(a-2)+12/(a+2)(a-2)]/[2/(a-2)-1/(a+2)]
=[3(a+2)/(a+2)(a-2)+12/(a+2)(a-2)]/[2(a+2)/(a-2)(a+2)-(a-2)/(a-2)(a+2)]
={[3(a+2)+12]/(a+2)(a-2)]}/{[2(a+2)-(a-2)]/(a-2)(a+2)]
={[3a+6+12]/(a+2)(a-2)]}/{[2a+4-a+2)]/(a-2)(a+2)]
={[3a+18]/(a+2)(a-2)]}/{[a+6)]/(a-2)(a+2)]
={[3a+18]/(a+2)(a-2)}*(a-2)(a+2)/[a+6]
=[3a+18]/[a+6]
=3(a+6)/(a+6)
=3
=[3(a+2)/(a+2)(a-2)+12/(a+2)(a-2)]/[2(a+2)/(a-2)(a+2)-(a-2)/(a-2)(a+2)]
={[3(a+2)+12]/(a+2)(a-2)]}/{[2(a+2)-(a-2)]/(a-2)(a+2)]
={[3a+6+12]/(a+2)(a-2)]}/{[2a+4-a+2)]/(a-2)(a+2)]
={[3a+18]/(a+2)(a-2)]}/{[a+6)]/(a-2)(a+2)]
={[3a+18]/(a+2)(a-2)}*(a-2)(a+2)/[a+6]
=[3a+18]/[a+6]
=3(a+6)/(a+6)
=3
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