Question

化简：(根号4x^2 -4x+1) 减(根号2x-3)^2 =? 答案是2，请解析

Answer 1

(根号4x^2 -4x+1) 减(根号2x-3)^2
=根号(2x-1)^2-(根号2x-3)^2
=|2x-1|-|2x-3|

因为根号定义,有2x-3>=0,则2x-1>0
|2x-1|-|2x-3|
=2x-1-(2x-3)
=2

Answer 2

(根号4x^2 -4x+1) 减(根号2x-3)^2 (
=√(4x²-4x+1)-√(2x-3)²
=√(2x-1)²-√(2x-3)²
=(2x-1)-(2x-3)
=2x-1-2x+3
=2