分式通分的步骤(1)1/x-y,1/x+y(2)a/2b,1/3a²,-(5/6abc)
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分式通分的步骤
(1)1/x-y,1/x+y
(2)a/2b,1/3a²,-(5/6abc)
(1)1/x-y,1/x+y
(2)a/2b,1/3a²,-(5/6abc)
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)
再问: b/a²-ab,a/b²-ab,ab/a²-b²,对下答案,答案就行
再答: 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)
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)
再问: b/a²-ab,a/b²-ab,ab/a²-b²,对下答案,答案就行
再答: 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)
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