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化简:1/x^2-3x+2+1/x^2-x +1/x^2+x+1/x^2+3x+2

来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/11/16 10:32:14
化简:1/x^2-3x+2+1/x^2-x +1/x^2+x+1/x^2+3x+2
化简:1/x^2-3x+2+1/x^2-x +1/x^2+x+1/x^2+3x+2
1/x^2-3x+2+1/x^2-x +1/x^2+x+1/x^2+3x+2
=1/(x-2)(x-1)+1/x(x-1)+1/x(x+1)+1/(x+2)(x+1)
=(x+x-2)/x(x-2)(x-1)+(x+2+x)/x(x+1)(x+2)
=2/x(x-2)+2/x(x+2)
=(2x+4+2x-4)/x(x+2)(x-2)
=4/(x+2)(x-2)
=4/(x^2-4)