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:2024/06/23 16:54:09
![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](/uploads/image/z/9860778-18-8.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%9B1%E3%80%81m%28x-y%29%26sup2%3B-x%2By2%E3%80%81%EF%BC%88a-b%29%26sup2%3B-3a%2B3b3%E3%80%81x%26sup2%3B%28x%2By%29%28y-x%29-xy%28x%2By%29%28x-y%294%E3%80%81%E5%B7%B2%E7%9F%A5a%2Bb%3D2%2Cab%3D-1%2F2%2C%E6%B1%82a%28a%2Bb%29%28a-b%29-a%28a%2Bb%29%26sup2%3B)
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