UC知道3(x+y)(y-x)-(x-y)(x-y)的因式分解
来源：百度知道 编辑：UC知道 时间：2024/05/25 13:42:26
问题说明越详细，回答准确,送10点积分
3（X+Y）（Y-X）+（Y-X）（X-Y）
（Y-X）（4X+2Y）
解决了
3(x+y)(y-x)-(x-y)(x-y)=
3(x+y)(y-x)+(x-y)(y-x))=
(y-x)[3(x+y)+(x-y)]=
(y-x)(4x+2y)=
2(2x+y)(y-x)
3(x+y)(y-x)-(x-y)(x-y)
3(xy-x方+y方-xy)-(x方-xy-xy+y方)
3xy-3x方+3y方-3xy-x方+2xy-y方
-4x方+2y方+2xy
-2（2x方-xy+y方）
3(x+y)(y-x)-(x-y)(x-y)
=3(x+y)(y-x)+(x-y)(y-x))
=(y-x)[3(x+y)+(x-y)]
=(y-x)(4x+2y)
=2(2x+y)(y-x)
提公因式!
= 3(x+y)(y-x)-(x-y)(x-y)
= 3(x+y)(y-x)+(x-y)(y-x))
=(y-x)[3(x+y)+(x-y)]
=(y-x)(4x+2y)
=2(2x+y)(y-x)
原式=3(x+y)(y-x)+(x-y)(y-x)
=3*2x*(y-x)
=6x(y-x)