Question

计算,分式的乘除与通分

Answer 1

1、1/(2m²+3m)=(2m-3)/m(2m+3)(2m-3)

1/(3-2m)=-m(2m+3)/m(2m+3)(2m-3)

(2m+5)/(4m²-9)=m(2m+5)/m(2m+3)(2m-3)

2、1/x(x-1)=(x+1)(x-1)/x(x-1)²(x+1)

1/(x²-1)=x(x-1)/x(x-1)²(x+1)

2/(x²-2x+1)=2x(x+1)/x(x-1)²(x+1)

3、(xy-y²-x²-xy)/(x²-y²)× (x+y)/(x²+y²)

=-(x²+y²)/(x+y)(x-y)×(x+y)/(x²+y²)

=-1/(x-y)

=1/(y-x)

4、=(x-y)²/(2x+y)×1/(x-y)

=(x-y)/(2x+y)