分式的加减(要详细过程)
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/11/08 14:16:03
分式的加减(要详细过程)
1.(x-1)的平方分之3减x-1)²分之3x
2.x的平方-64y的平方分之2x减x-8y分之1
1.(x-1)的平方分之3减x-1)²分之3x
2.x的平方-64y的平方分之2x减x-8y分之1
1.(x-1)的平方分之3减x-1)²分之3x
=(3-3x)/(x-1)^2
=-3(x-1)/(x-1)^2
=3/(1-x)
2.x的平方-64y的平方分之2x减x-8y分之1
=2x/(x^2-64y^2)-1/(x-8y)
=2x/(x^2-64y)^2-(x+8y)/(x^2-64y^2)
=(2x-x+8y)/(x^2-64y^2)
=(x+8y)/[(x-8y)(x+8y)]
=1/(x-8y)
=(3-3x)/(x-1)^2
=-3(x-1)/(x-1)^2
=3/(1-x)
2.x的平方-64y的平方分之2x减x-8y分之1
=2x/(x^2-64y^2)-1/(x-8y)
=2x/(x^2-64y)^2-(x+8y)/(x^2-64y^2)
=(2x-x+8y)/(x^2-64y^2)
=(x+8y)/[(x-8y)(x+8y)]
=1/(x-8y)