因式分解(x方-x）方-8（x方-x）+12最好有步骤哎
问题描述：
因式分解(x方-x）方-8（x方-x）+12
最好有步骤哎
答
(x" - x)" - 8(x" - x) + 12
= ( x" - x )" - 2( x" - x ) - 6( x" - x ) + 12
= ( x" - x )( x" - x - 2 ) - 6( x" - x - 2 )
= ( x" - x - 2 )( x" - x - 6 )
= ( x" + x - 2x - 2 )( x" + 2x - 3x - 6 )
= [ x( x + 1 ) - 2( x + 1 ) ][ x( x + 2 ) - 3( x + 2 ) ]
= ( x + 1 )( x - 2 )( x + 2 )( x - 3 )
答
(x方-x）方-8（x方-x）+12
=(x方-x -6 ) (x方-x -2 )
= (x-3) (x+2) (x-2) (x+1)