a-b=2ab,求分式2a+ab+2b/a-3ab+b的值
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a-b=2ab,求分式2a+ab+2b/a-3ab+b的值
![a-b=2ab,求分式2a+ab+2b/a-3ab+b的值](/uploads/image/z/16751681-17-1.jpg?t=a-b%3D2ab%2C%E6%B1%82%E5%88%86%E5%BC%8F2a%2Bab%2B2b%2Fa-3ab%2Bb%E7%9A%84%E5%80%BC)
a-b=2ab
ab=(a-b)/2
分式2a+ab+2b/a-3ab+b
=(2a+(a-b)/2+2b)/(a-3(a-b)/2+b)
=1/2(4a+a-b+4b)/(1/2(2a-3(a-b)+2b))
=(5a+3b)/(-a+5b)
再问: 化简分式a^2-4/a^2-4a+3*[(a-3)/a^2+3a+2]
再答: 化简分式a^2-4/a^2-4a+3*[(a-3)/a^2+3a+2] =(a+2)(a-2)/(a-3)(a-1)*[(a-3)/(a+2)(a+1)] =(a-2)/(a-1)(a+1) =(a-2)/(a^2-1)
ab=(a-b)/2
分式2a+ab+2b/a-3ab+b
=(2a+(a-b)/2+2b)/(a-3(a-b)/2+b)
=1/2(4a+a-b+4b)/(1/2(2a-3(a-b)+2b))
=(5a+3b)/(-a+5b)
再问: 化简分式a^2-4/a^2-4a+3*[(a-3)/a^2+3a+2]
再答: 化简分式a^2-4/a^2-4a+3*[(a-3)/a^2+3a+2] =(a+2)(a-2)/(a-3)(a-1)*[(a-3)/(a+2)(a+1)] =(a-2)/(a-1)(a+1) =(a-2)/(a^2-1)
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