Question

化简下列分式（要过程）：1 x²+x÷x²-1 2.x²-9÷x²-6x+9 3

Answer 1

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