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化简求值:已知a=5,求(a-4)/(a²-9)÷1/(a-3)×(a²+6a+9)/(a²-8a+16)的值
人气:131 ℃ 时间:2020-06-13 04:06:12
解答
(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)
=>a=5
(a-4)/(a²-9)÷1/(a-3)×(a²+6a+9)/(a²-8a+16)
=(a+3)/(a-4)
=8
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