求(2a平方+3a+2)/(a+1)-(a平方-a-5)/(a+2)-(3a平方-4a-5)/(a-2)+(2a平方a-8a+5)/(a-3)

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求(2a平方+3a+2)/(a+1)-(a平方-a-5)/(a+2)-(3a平方-4a-5)/(a-2)+(2a平方a-8a+5)/(a-3)
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求(2a平方+3a+2)/(a+1)-(a平方-a-5)/(a+2)-(3a平方-4a-5)/(a-2)+(2a平方a-8a+5)/(a-3)
求(2a平方+3a+2)/(a+1)-(a平方-a-5)/(a+2)-(3a平方-4a-5)/(a-2)+(2a平方a-8a+5)/(a-3)

求(2a平方+3a+2)/(a+1)-(a平方-a-5)/(a+2)-(3a平方-4a-5)/(a-2)+(2a平方a-8a+5)/(a-3)
原式=[(2a+1)(a+1)+1]/(a+1)-[(a+2)(a-3)+1]/(a+2)-[(3a+2)(a-2)-1]/(a-2)+[(2a-2)(a-3)-1]/(a-3)
=2a+1+1/(a+1)-(a-3)-1/(a+2)-(3a+2)+1/(a-2)+(2a-2)-1/(a-3)
=1/(a+1)-1/(a+2)+1/(a-2)-1/(a-3)