化简:b/(a-b)+b^2/(a^3-2a^2b+ab^3)*(ab+b^2)/(b^2-a^2)
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化简:b/(a-b)+b^2/(a^3-2a^2b+ab^3)*(ab+b^2)/(b^2-a^2)
/(a-b)+b^2/(a^3-2a^2b+ab^3)*(ab+b^2)/(b^2-a^2)
=b/(a-b)-[b^2/a(a^2-2ab+b^2)]*b(a+b)]/(a^2-b^2)
=b/(a-b)-[b^2/a(a-b)^2]*(a+b)(a-b)/b(a+b)
=b/(a-b)-b/a(a-b)
=(ab-b)/a(a-b)
=b(a-1)/a(a-b)
再问: b/(a-b)+b^3/(a^3-2a^2b+ab^3)/(ab+b^2)/(b^2-a^2)
=b/(a-b)-[b^2/a(a^2-2ab+b^2)]*b(a+b)]/(a^2-b^2)
=b/(a-b)-[b^2/a(a-b)^2]*(a+b)(a-b)/b(a+b)
=b/(a-b)-b/a(a-b)
=(ab-b)/a(a-b)
=b(a-1)/a(a-b)
再问: b/(a-b)+b^3/(a^3-2a^2b+ab^3)/(ab+b^2)/(b^2-a^2)
(a-b)(a^2+ab+b) 化简
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a+b/2ab
2AB/A+B
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