(a²-8a+16)/(9-a²) ÷ (16-a²)/(9+6a+a²)
=(a-4)²(a+3)²/[(a+3)(a-3)(a+4)(a-4)]
=(a-4)(a+3)/[(a+4)(a-3)]
=(a²-a-12)/(a²+a-12)