【数学分式计算,要过程】a²分之(a²-ab)÷(b分之a-a分之ba²分之(a²-ab)÷(b分之a-a分之b)(a²-1)分之(a²+2a+1)-(a-1)分之1

问题描述:

【数学分式计算,要过程】a²分之(a²-ab)÷(b分之a-a分之b
a²分之(a²-ab)÷(b分之a-a分之b)
(a²-1)分之(a²+2a+1)-(a-1)分之1

a²分之(a²-ab)÷(b分之a-a分之b)
=(a-b)/a÷(a-b)(a+b)/ab
=[(a-b)/a]xab/[(a-b)(a+b)]
=b/(a+b)
(a²-1)分之(a²+2a+1)-(a-1)分之1 (
=[(a+1)(a+1)/(a-1)(a+1)]-[1/(a-1)]
=(a+1)/(a-1)-[1/(a-1)]
=a+1-1
=a

a²分之(a²-ab)÷(b分之a-a分之b)
=a(a-b)/a^2/[(a^2-b^2)/ab]
=(a-b)/a*ab/(a+b)(a-b)
=b/(a+b)
(a²-1)分之(a²+2a+1)-(a-1)分之1
=(a+1)^2/(a+1)(a-1)-1/(a-1)
=(a+1)/(a-1)-1/(a-1)
=a/(a-1)

1、=a(a-b)/a²÷(a²-b²)/ab
=(a-b)/b×ab/(a+b)(a-b)
=a/(a+b)

2、=(a+1)²/(a+1)(a-1)-1/(a-1)
=(a+1)/(a-1)-1/(a-1)
=1/(a-1)