神马作文网化简下列分式（要过程）：
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：2024/11/06 11:13:10
化简下列分式（要过程）：
1 x²+x÷x²-1 2.x²-9÷x²-6x+9 3.x²+4x÷x²+8x+16 4.ab²（a-b）÷a²b-ab²
5.x²-8x+16÷x²-16 6.x²-2x÷2y-xy
1 x²+x÷x²-1 2.x²-9÷x²-6x+9 3.x²+4x÷x²+8x+16 4.ab²（a-b）÷a²b-ab²
5.x²-8x+16÷x²-16 6.x²-2x÷2y-xy
1.(x²+x)/(x²-1)
=x(x+1)/(x+1)(x-1)
=x/x-1
2.(x²-9)/(x²-6x+9)
=(x+3)(x-3)/(x-3)²
=(x+3)/(x-3)
3.(x²+4x)/(x²+8x+16)
=x(x+4)/(x+4)²
=x/(x+4)
4.ab²(a-b)/(a²b-ab²)
=ab²(a-b)/ab(a-b)
=ab²/ab
=b
5.(x²-8x+16)/(x²-16)
=(x-4)²/(x+4)(x-4)
=(x-4)/(x+4)
6. (x²-2x)/(2y-xy)
=x(x-2)/y(2-x)
=-x(x-2)/y(x-2)
=-x/y
=x(x+1)/(x+1)(x-1)
=x/x-1
2.(x²-9)/(x²-6x+9)
=(x+3)(x-3)/(x-3)²
=(x+3)/(x-3)
3.(x²+4x)/(x²+8x+16)
=x(x+4)/(x+4)²
=x/(x+4)
4.ab²(a-b)/(a²b-ab²)
=ab²(a-b)/ab(a-b)
=ab²/ab
=b
5.(x²-8x+16)/(x²-16)
=(x-4)²/(x+4)(x-4)
=(x-4)/(x+4)
6. (x²-2x)/(2y-xy)
=x(x-2)/y(2-x)
=-x(x-2)/y(x-2)
=-x/y