a-b/a^2+ab / ab-a^2/a^2b^2-b^4快

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 08:04:23

a-b/a^2+ab / ab-a^2/a^2b^2-b^4快
a-b/a^2+ab / ab-a^2/a^2b^2-b^4

a-b/a^2+ab / ab-a^2/a^2b^2-b^4快
原式=(a-b)/a(a+b)÷[-a(a-b)/b^2(a+b)(a-b)]
=-(a-b)/a(a+b)×[b^2(a+b)(a-b)/a(a-b)]
=-(a-b)/a(a+b)×[b^2(a+b)/a]
=-b^2(a-b)/a^2

(a-b)/(a^2+ab) ÷ (ab-a^2)/(a^2b^2-b^4)
= (a-b) / (a^2+ab) × (a^2b^2-b^4) / (ab-a^2)
= (a-b) / {a(a+b) × b^2(a+b)(a-b) / {-a(a-b)}
= (a-b) /a × b^2 / {-a}
= -b^2(a-b)/a^2

=(a-b)/a(a+b)÷[-a(a-b)/b^2(a+b)(a-b)]=-(a-b)/a(a+b)×[b^2(a+b)(a-b)/a(a-b)]=-(a-b)/a(a+b)×[b^2(a+b)/a]=-b^2(a-b)/a^2