作业帮分解因式；1、m(x-y)²-x+y2、（a-b)²-3a+3b3、x²(x+y)(y-x)-xy(x+y)(x-y)4、已知a+b=2,ab=-1/2,求a(a+b)(a-b)-a(a+b)²
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/02 15:34:09
分解因式；1、m(x-y)²-x+y2、（a-b)²-3a+3b3、x²(x+y)(y-x)-xy(x+y)(x-y)4、已知a+b=2,ab=-1/2,求a(a+b)(a-b)-a(a+b)²
分解因式；
1、m(x-y)²-x+y
2、（a-b)²-3a+3b
3、x²(x+y)(y-x)-xy(x+y)(x-y)
4、已知a+b=2,ab=-1/2,求a(a+b)(a-b)-a(a+b)²
分解因式；1、m(x-y)²-x+y2、（a-b)²-3a+3b3、x²(x+y)(y-x)-xy(x+y)(x-y)4、已知a+b=2,ab=-1/2,求a(a+b)(a-b)-a(a+b)²
(mx+my)(x-y)-(x-y)
(mx+my-1)(x-y)
(a-b)(a-b)-3(a-b)
=(a-b-3)(a-b)
x^2(x+y)(y-x)+xy(x+y)(y-x)
=(x^2+xy)(x+y)(y-x)
=x(x+y)^2(y-x)
a(a+b)(a-b-a-b)
=-2ab(a+b)
=2
1=m(x+y)(x-y)-(x-y)=[m(x+y)-1](x-y)
2同理
下皆通
1、m(x-y)²-x+y
=m(x-y)²-（x-y）
=（x-y）[m（x-y）-1]
=(x-y)(mx-my-1)
2、（a-b)²-3a+3b
=（a-b)²-3(a-b)
=(a-b)(a-b-3)
3、x²(x+y)(y-x)-xy(x+y)(x-y)
=x²(...
全部展开
1、m(x-y)²-x+y
=m(x-y)²-（x-y）
=（x-y）[m（x-y）-1]
=(x-y)(mx-my-1)
2、（a-b)²-3a+3b
=（a-b)²-3(a-b)
=(a-b)(a-b-3)
3、x²(x+y)(y-x)-xy(x+y)(x-y)
=x²(x+y)(y-x)+xy(x+y)(y-x)
=x(x+y)(y-x)(x+y)
=x(x+y)^2*(y-x)
4、已知a+b=2,ab=-1/2,求a(a+b)(a-b)-a(a+b)²
a(a+b)(a-b)-a(a+b)²
=a(a+b)[(a-b)-(a+b)]
=a(a+b)(-2b)
=-2ab(a+b)
=-2*(-1/2)*2
=2
收起
1、m(x-y)²-x+y=m(x+y)(x-y)-(x-y)=(mx+my-1)(x-y)
2、（a-b)²-3a+3b=(a+b)(a-b)-3(a-b)=(a+b-3)(a-b)
3、x²(x+y)(y-x)-xy(x+y)(x-y)=-x²(x+y)(x-y)-xy(x+y)(x-y)=-x(x-y)(x+y)(x-y)
4、已知a+b=2,ab=-1/2,求a(a+b)(a-b)-a(a+b)² =a(a+b)(a-b-a-b)=-2ab(a+b)=2