计算：【(a+3)/(a²-4)-a/（a²+a-6）】/（4a+9）/（a-2）
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[(a+3)/(a²-4)-a/(a²+a-6)]/（4a+9)/(a-2)
=[(a+3)/(a-2)(a+2)-a/(a+3)(a-2)]/(4a+9)/(a-2)
=[(a+3)/(a-2)(a+2)-a/(a+3)(a-2)]*(a-2)/(4a+9)
=(a+3)/(a-2)(a+2)*(a-2)/(4a+9)-a/(a+3)(a-2)*(a-2)/(4a+9)
=(a+3)/[(a+2)(4a+9)]-a/[(a+3)(4a+9)]
=(a+3)/[(a+2)(4a+9)]-a/[(a+3)(4a+9)]
=(a+3)^2/[(a+2)(a+3)(4a+9)]-a(a+2)/[(a+3)(a+2)(4a+9)]
=[(a+3)^2-a(a+2)]/[(a+3)(a+2)(4a+9)]
=(a^2+6a+9-a^2-2a)/[(a+3)(a+2)(4a+9)]
=(4a+9)/[(a+3)(a+2)(4a+9)]
=1/[(a+3)(a+2)]
=[(a+3)/(a-2)(a+2)-a/(a+3)(a-2)]/(4a+9)/(a-2)
=[(a+3)/(a-2)(a+2)-a/(a+3)(a-2)]*(a-2)/(4a+9)
=(a+3)/(a-2)(a+2)*(a-2)/(4a+9)-a/(a+3)(a-2)*(a-2)/(4a+9)
=(a+3)/[(a+2)(4a+9)]-a/[(a+3)(4a+9)]
=(a+3)/[(a+2)(4a+9)]-a/[(a+3)(4a+9)]
=(a+3)^2/[(a+2)(a+3)(4a+9)]-a(a+2)/[(a+3)(a+2)(4a+9)]
=[(a+3)^2-a(a+2)]/[(a+3)(a+2)(4a+9)]
=(a^2+6a+9-a^2-2a)/[(a+3)(a+2)(4a+9)]
=(4a+9)/[(a+3)(a+2)(4a+9)]
=1/[(a+3)(a+2)]
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