
(a/a-b-a^2/a^2-2ab+b^2)÷(a/a+b-a^2/a^2-b^2)+1,其中a=2/3,b=-3
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原式=[a/(a-b)-a^2/(a-b)^2]÷[a/(a+b)-a^2/(a+b)(a-b)]+1
={[a(a-b)-a^2]/(a-b)^2}÷{[a(a-b)-a^2]/(a+b)(a-b)}+1
=[-ab/(a-b)^2]÷[-ab/(a+b)(a-b)]+1
=[(a+b)/(a-b)]+1
=[(2/3)-3]/[(2/3)+3]+1
=4/11
={[a(a-b)-a^2]/(a-b)^2}÷{[a(a-b)-a^2]/(a+b)(a-b)}+1
=[-ab/(a-b)^2]÷[-ab/(a+b)(a-b)]+1
=[(a+b)/(a-b)]+1
=[(2/3)-3]/[(2/3)+3]+1
=4/11
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