( a2-9)/(a2+6a+9) ÷(a-3) /(a2+3a) - (a-a2) /(a2-1),

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( a2-9)/(a2+6a+9) ÷(a-3) /(a2+3a) - (a-a2) /(a2-1),

( a2-9)/(a2+6a+9) ÷(a-3) /(a2+3a) - (a-a2) /(a2-1),
( a2-9)/(a2+6a+9) ÷(a-3) /(a2+3a) - (a-a2) /(a2-1),

( a2-9)/(a2+6a+9) ÷(a-3) /(a2+3a) - (a-a2) /(a2-1),
( a2-9)/(a2+6a+9) ÷(a-3) /(a2+3a) - (a-a2) /(a2-1)
=(a-3)(a+3)/(a+3)²×a(a+3)/(a-3)- a(1-a)/[(a-1)(a+1)]
=a+a/(a+1)
=(a²+2a)/(a+1)

(a+3)(a-3)/(a+3)^2乘上a(a+3)/(a-3)-a(1-a)/(a-1)(a+1)结果 a^2+2a/a+1

(a^2-9)/(a^2+6a+9)/(a+3)/(a^2+3a)-(a-a^2)/(a^2-1)
=(a+3)(a-3)/(a+3)^2/(a-3)/a(a+3)+a(a-1)/(a-1)(a+1)
=a+a/(a+1)
=(a^2+2a)/(a+1)