(1)
(a^2-4)*(a-3)/(a^2-4a+3)(a^2+3a+2)
=(a+2)(a-2)(a-3)/(a-1)(a-3)(a+1)(a+2)
=(a-2)/(a-1)(a+1)
(2)
(a^2-8a+16)(16-a^2)/(9-a^2)(9+6a+a^2)
=(a-4)^3*(4+a)/(a-3)^2*(a+3)
(1)
(a^2-4)*(a-3)/(a^2-4a+3)(a^2+3a+2)
=(a+2)(a-2)(a-3)/(a-1)(a-3)(a+1)(a+2)
=(a-2)/(a-1)(a+1)
(2)
(a^2-8a+16)(16-a^2)/(9-a^2)(9+6a+a^2)
=(a-4)^3*(4+a)/(a-3)^2*(a+3)