(a^2-9)/(a^2-4a+3)×(a-1)/a^2+4a+3(2a^2-3a+1)/(1-a^2)÷(4a^2-4a+1)/(2a^2+a-1)(3x+9)/(4-4x+x^2)÷(x+3)/(x-2)

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(a^2-9)/(a^2-4a+3)×(a-1)/a^2+4a+3(2a^2-3a+1)/(1-a^2)÷(4a^2-4a+1)/(2a^2+a-1)(3x+9)/(4-4x+x^2)÷(x+3)/(

(a^2-9)/(a^2-4a+3)×(a-1)/a^2+4a+3(2a^2-3a+1)/(1-a^2)÷(4a^2-4a+1)/(2a^2+a-1)(3x+9)/(4-4x+x^2)÷(x+3)/(x-2)
(a^2-9)/(a^2-4a+3)×(a-1)/a^2+4a+3
(2a^2-3a+1)/(1-a^2)÷(4a^2-4a+1)/(2a^2+a-1)
(3x+9)/(4-4x+x^2)÷(x+3)/(x-2)

(a^2-9)/(a^2-4a+3)×(a-1)/a^2+4a+3(2a^2-3a+1)/(1-a^2)÷(4a^2-4a+1)/(2a^2+a-1)(3x+9)/(4-4x+x^2)÷(x+3)/(x-2)
(a^2-9)/(a^2-4a+3)×(a-1)/a^2+4a+3
=[(a-3)(a+3)/(a-3)(a-1)×(a-1)/[(a+3)(a+1)]
=(a+3)/(a-1)×(a-1)/[(a+3)(a+1)]
=1/(a+1)