化简：(x+2x2-2x-x-1x2-4x+4)÷x-4x．

题型：解答题难度：一般来源：不详

化简：(

x+2

x2-2x

-

x-1

x2-4x+4

)÷

x-4

x

．

答案

(

x+2

x2-2x

-

x-1

x2-4x+4

)÷

x-4

x

=

(x+2)(x-2)-x(x-1)

x(x-2)2

×

x

x-4

=

x2-4-x2+x

x(x-2)2

×

x

x-4

=

1

(x-2)2

．