求(2005³-2×2005²-2003)/(2005³+2005²-2006)的值
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/26 04:51:33
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求(2005³-2×2005²-2003)/(2005³+2005²-2006)的值
求(2005³-2×2005²-2003)/(2005³+2005²-2006)的值
求(2005³-2×2005²-2003)/(2005³+2005²-2006)的值
(2005³-2×2005²-2003)/(2005³+2005²-2006)
=((2005-2)×2005²-2003)/(2005²×(1+2005)-2006)
=(2003×2005²-2003)/(2005²×2006-2006)
=(2003×(2005²-1))/((2005²-1)×2006)
=2003/2006
分别化简
1.分母:2005³+2005²-2006=2005²(2500+1)-2600=2005²x2006-2006=2006(2005²-1)=2006(2005+1)(2005-1)=2006x2006x2004=2006²x2004
2.分子:2005³-2×2005²-2003=2005&...
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分别化简
1.分母:2005³+2005²-2006=2005²(2500+1)-2600=2005²x2006-2006=2006(2005²-1)=2006(2005+1)(2005-1)=2006x2006x2004=2006²x2004
2.分子:2005³-2×2005²-2003=2005²(2005-2)-2003=2005²x2003-2003=2003(2005²-1)
=2003x(2005+1)(2005-1)=2003x2006x2004
3,值为:分子/分母=(2003x2006x2004)/(2006²x2004)=2003/2006
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