x(x+y)(x-y)-x(x+y)^2 因式分解

如题所述

第1个回答  2015-04-16
x( x + y )( x - y ) - x( x + y )”
= x( x + y )[ ( x - y ) - ( x + y ) ]
= x( x + y )[ x - y - x - y ]
= x( x + y )( -2y )
= -2xy( x + y )
或者
= -x( x + y )[ ( y - x ) + ( x + y ) ]
= -x( x + y )[ y - x + x + y ]
= -x( x + y )( 2y )
= -2xy( x + y )本回答被网友采纳
第2个回答  推荐于2016-11-20
具体分解过程如下:
x(x+y)(x-y)-x(x+y)²
=x(x+y)[(x-y)-(x+y)]
=x(x+y)(x-y-x-y)
=-2xy(x+y)

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当x(x+y)(x-y)-x(x+y)²进行因式分解,并求当x+y=1,xy=-1\/2时此式...
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