(x-2分之x-x+2分之x)÷2-x分之4x分式化简该怎么做
问题描述:
(x-2分之x-x+2分之x)÷2-x分之4x分式化简该怎么做
答
(x-2分之x-x+2分之x)÷2-x分之4x
=[x/(x-2)-x/(x+2)]÷ 4x/(2-x)
=x(x+2-x+2)/(x-2)(x+2)* (2-x)/ 4x
=4x/(x-2)(x+2)* (2-x)/ 4x
=-1/(x+2)
答
(x-2分之x-x+2分之x)÷2-x分之4x
=[(x/(x-2)-x/(x+2)]÷4x/(2-x)
=[(x²+2x-x²+2x)/(x-2)(x+2)]*(2-x)/4x
=4x/(x-2)(x+2)*(2x-)/4x
=-1/(x+2)