Question

分式通分的步骤

(1)1/x-y,1/x+y
(2)a/2b,1/3a²,-(5/6abc)
主要过程

Answer 1

解
最简公分母为(x-y)(x+y)
∴
1/(x-y)=(x+y)/(x-y)(x+y)=(x+y)/(x²-y²)
1/(x+y)=(x-y)/(x-y)(x+y)=(x-y)/(x²-y²)

最简公分母为：6a²bc
∴a/2b=3a³c/(6a²bc)
1/3a²=2bc/(6a²bc)
-5/6abc=-5a/(6a²bc)

追问

b/a²-ab，a/b²-ab，ab/a²-b²，对下答案，答案就行

追答

最简公分母为：
ab(a-b)(a+b)
∴b/(a²-ab)=b²(a+b)/ab(a-b)(a+b)
a/(b²-ab)=-a/(ab-b²)=-a²(a+b)/ab(a-b)(a+b)
ab/(a²-b²)=a²b²/ab(a+b)(a-b)