【1/a-2+a²-1/(a+2)(a-1)】÷(a/a+2)²,其中a=2010

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【1/a-2+a²-1/(a+2)(a-1)】÷(a/a+2)²,其中a=2010
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【1/a-2+a²-1/(a+2)(a-1)】÷(a/a+2)²,其中a=2010
【1/a-2+a²-1/(a+2)(a-1)】÷(a/a+2)²,其中a=2010

【1/a-2+a²-1/(a+2)(a-1)】÷(a/a+2)²,其中a=2010
【1/(a-2)+(a²-1)/(a+2)(a-1)】÷(a/a+2)²
=【1/(a-2)+(a+1)(a-1)/(a+2)(a-1)】×[(a+2)/a]²
=【1/(a-2)+(a+1)/(a+2)】×[(a+2)/a]²
=(a²-4)/(a+2)(a-2)×[(a+2)/a]²
=[(a+2)/a]²
=[(2010+2)/2010]²
=(1006/1005)²
=1012036/1010025

【1/(a-2)+(a²-1)/(a+2)(a-1)】÷(a/a+2)²
=【1/(a-2)+(a+1)(a-1)/(a+2)(a-1)】×[(a+2)/a]²
=【1/(a-2)+(a+1)/(a+2)】×[(a+2)/a]²
=(a²-4)/(a+2)(a-2)×[(a+2)/a]²
=[(a+2)/a]²
=[(2010+2)/2010]²
=(1006/1005)²
=1012036/1010025