已知a=5,求(a-4)/(a²-9)÷1/(a-3)*(a²+6a+9)/(a²-8a+16)

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已知a=5,求(a-4)/(a²-9)÷1/(a-3)*(a²+6a+9)/(a²-8a+16)已知a=5,求(a-4)/(a²-9)÷1/(a-3)*(a²+

已知a=5,求(a-4)/(a²-9)÷1/(a-3)*(a²+6a+9)/(a²-8a+16)
已知a=5,求(a-4)/(a²-9)÷1/(a-3)*(a²+6a+9)/(a²-8a+16)

已知a=5,求(a-4)/(a²-9)÷1/(a-3)*(a²+6a+9)/(a²-8a+16)
(a-4)/(a²-9)÷1/(a-3)*(a²+6a+9)/(a²-8a+16)
=(a-4)/[(a+3)(a-3)]×(a-3)×(a+3)²/(a-4)²
=(a+3)/(a-4)
=8