化简求值;{[(a-2)/(a^2+2a)]-[(a-1)/(a^2+4a+4)]}除以(a-4)/(a+2),其中a满足a^2+2a-1=0应该能看懂吧

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化简求值;{[(a-2)/(a^2+2a)]-[(a-1)/(a^2+4a+4)]}除以(a-4)/(a+2),其中a满足a^2+2a-1=0应该能看懂吧
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化简求值;{[(a-2)/(a^2+2a)]-[(a-1)/(a^2+4a+4)]}除以(a-4)/(a+2),其中a满足a^2+2a-1=0应该能看懂吧
化简求值;{[(a-2)/(a^2+2a)]-[(a-1)/(a^2+4a+4)]}除以(a-4)/(a+2),其中a满足a^2+2a-1=0
应该能看懂吧

化简求值;{[(a-2)/(a^2+2a)]-[(a-1)/(a^2+4a+4)]}除以(a-4)/(a+2),其中a满足a^2+2a-1=0应该能看懂吧
{[(a-2)/(a^2+2a)]-[(a-1)/(a^2+4a+4)]}除以(a-4)/(a+2)
={[(a-2)/a(a+2)]-[(a-1)/(a+2)²]}除以(a-4)/(a+2)
=[(a+2)(a-2)-a(a-1)]/a(a+2)²×(a+2)/(a-4)
=1/(a²+2a)
=1