几题分式计算(1)2/(m-1)^2除以(1-m)(2)(3x-6)/(x^2-4)除以(x+2)/(x^2+4x+4)

问题描述:

几题分式计算
(1)2/(m-1)^2除以(1-m)
(2)(3x-6)/(x^2-4)除以(x+2)/(x^2+4x+4)
(3)(-x/y)^2*(-y^2/x)^3除以(-xy)^4
(4)(2x-6/-5x^2)^2*(x+3/x^2-6x+9)除以(x+3/x-3)^2
1个回答 分类:数学 2014-09-21

问题解答:

我来补答
(1)
[2/(m-1)²] ÷ (1-m)
= [2/(1-m)²] ÷ (1-m)
= 2/(1-m)³
(2)
[(3x-6)/(x²-4)] ÷ [(x+2)/(x²+4x+4)]
= {2(x-2)/[(x+2)(x-2)]} ÷ [(x+2)/(x+2)²]
= [2/(x+2)] ÷ [1/(x+2)]
= 2
(3)
[(-x/y)²×(-y²/x)³] ÷ [(-xy)^4]
= [(x²/y²)×(-y^6)/x³] ÷ [(xy)^4]
= [(-y^4)/x] ÷ [(x^4)(y^4)]
= -1/x^5
(4) 此题似乎少加了些括号,以下是加了括号的一种形式
{[(2x-6)/(-5x²)]²×[(x+3)/(x²-6x+9)]} ÷ [(x+3)/(x-3)]²
= {[4(x-3)²/(-5x²)²]×[(x+3)/(x-3)²]} ÷ [(x+3)²/(x-3)²]
= [4(x+3)/(25x^4)] ÷ [(x+3)²/(x-3)²]
= 4(x-3)²/[(25x^4)(x+3)]
= (4x²-24x+36)/(25x^5+75x^4)
 
 
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