化简[√ab-ab/(a+√ab)]÷(√ab-a)/(a-b)

来源：学生作业帮助网编辑：作业帮时间：2024/04/27 16:03:46

化简[√ab-ab/(a+√ab)]÷(√ab-a)/(a-b)
化简[√ab-ab/(a+√ab)]÷(√ab-a)/(a-b)

化简[√ab-ab/(a+√ab)]÷(√ab-a)/(a-b)
[√ab - ab/(a+√ab)]÷( (√ab-a) / (a-b) )
= [√ab - ab/(√a(√a+√b))]÷( (√a(√b-√a)) / ((√a-√b)(√a+√b)) )
= [√ab - √a*b/(√a+√b)]÷( -√a / (√a+√b) )
= -[√ab - √a*b/(√a+√b)] /√a * (√a+√b)
= -[√b - b/(√a+√b)] * (√a+√b)
= -[√b(√a+√b) - b]
= -[√ab + b - b]
= -√ab

=[√ab- √a b/(√a+b)]÷(√ab-a)/(a-b)
=√ab[1-1/(√a+b)]÷(√ab-a)/(a-b)
=b[1-1/(√a+b)]÷(b-√a)/(a-b)
=b(a-b)(√a+b-1)/(b^2-a)
再无可化简

化简[√ab-ab/(a+√ab)]÷(√ab-a)/(a-b) 计算[(√ab ) －ab/(a+√ab)]÷(√ab)－b/a－b 化简(a2+ab+b2)/a+√ab+b a^-b^/ab-ab-b^/ab-ab-a^化简 (√ab-ab/a+√ab)×√ab-b/a-b 初三高一数学题一道.[√a+(b-√ab)/(√a+√b)]÷[a/(√ab+b)+b/(√ab-a)-(a+b)/√ab] √ 18ab*3 (a [ab] ab ab ab ab ab ab ab ab ab ab