多项式因式分解,(1)y(x-y)+x(x-y) (2)y(x-y)+x(y-x)(3)a(x-y)^2-b(y-x)^

来源：学生作业帮编辑：搜搜做题作业网作业帮分类：数学作业时间：2024/06/23 05:36:19

多项式因式分解,
(1)y(x-y)+x(x-y) (2)y(x-y)+x(y-x)
(3)a(x-y)^2-b(y-x)^2 (4)a(x-y)^3-b(y-x)^3
(5)a^2b(a-b)-ab^2(a-b)

(1)y(x-y)+x(x-y)
原式＝yx-y^2+x^2-yx
=x^2-y^2
=(x-y)(x+y)
(2)y(x-y)+x(y-x)
原式＝yx-y^2+xy-x^2
=-(x^2-2xy+y^2)
=-(x-y)^2
(3)a(x-y)^2-b(y-x)^2
原式＝ (x-y)^2 （a-b）
(4)a(x-y)^3-b(y-x)^3
原式＝a(x-y)^3+b(x-y)^3
=(x-y)^3(a+b)
(5)a^2b(a-b)-ab^2(a-b)
原式＝ab(a-b)(a-b)
=ab(a-b)^2

因式分解 (1)6(x-y)^3-3y(y-x)^2 (2)x(x-y)(a-b)-y(y-x)( (x-y)^2-(x-y)^3因式分解 (x+y)^2-3(x-y)因式分解因式分解3x^2(x-y)+6x(y-x) 1、x(x-y)(x+y)-x(x+y)^2 因式分解(x-y)^2-x-y 4x(y-x)-y^2因式分解 6(x+y)2-2(x-y)(x+y)因式分解因式分解：x×x-xy-2y×y-x-y {(x,y) |x|+|y| x>y?x:y (2x+y)(2x-3y)+x(2y+y) 2a(x-y)-4b(x-y)