(a^2-b^2)/ab-(ab-b^2)/(ab-a^2)

问题描述:

(a^2-b^2)/ab-(ab-b^2)/(ab-a^2)
x/(x^2-y^2)-y/(x^2+2xy+y^2)
1个回答 分类:数学 2014-10-27

问题解答:

我来补答
(a^2-b^2)/ab-(ab-b^2)/(ab-a^2)
=(a^2-b^2)/ab-b(a-b)/a(b-a)
=(a^2-b^2)/ab-(-b)/a
=(a^2-b^2)/ab+b/a
=(a^2-b^2)/ab+b^2/ab
=(a^2-b^2+b^2)/ab
=a^2/ab
=a/b
x/(x^2-y^2)-y/(x^2+2xy+y^2)
=x/[(x+y)(x-y)]-y/(x+y)^2
=x(x+y)/[(x+y)^2(x-y)]-y(x-y)/[(x+y)^2(x-y)]
=(x^2+xy-yx+y^2)/[(x+y)^2(x-y)]
=(x^2+y^2)/[(x+y)^2(x-y)]
这个不会看不懂吧
 
 
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