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原式=[(a-2)/a(a+2)-(a-1)/(a+2)²]×[(a+2)/(a-4)]
={[(a-2)(a+2)-a(a-1)]/a(a+2)²}×[(a+2)/(a-4)]
=[(a²-4-a²+a)/a(a+2)²}×[(a+2)/(a-4)]
=[(a-4)/a(a+2)²}×[(a+2)/(a-4)]
=1/(a²+2a)
={[(a-2)(a+2)-a(a-1)]/a(a+2)²}×[(a+2)/(a-4)]
=[(a²-4-a²+a)/a(a+2)²}×[(a+2)/(a-4)]
=[(a-4)/a(a+2)²}×[(a+2)/(a-4)]
=1/(a²+2a)
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