(2x的平方-2x+1/2)/(x-1/2)是化简

Question

( 2x的平方 - 2x + 1/2 ) / ( x - 1/2 )
是化简

Answer 1

将分子分母同时乘以2,再将分式整理得:
(2x-1)^2/2x-1
化简得:正负(2x-1)
首先:2(2x^2-2x+1/2)/2(x-1/2)
=4x^2-4x+1/2x-1
=(2x^2-1)^2/2x-1
=|2x-1|/2x-1
=正负2x-1