Question

几道数学题求解！！急急急

把多项式因式分解
1、y（x-y）+x（x-y）
2、y（x-y）+x（y-x）

Answer 1

y（x-y）+x（x-y）=yx-y^2+x^2-xy=x^2-y^2=(x+y)(x-y)
y（x-y）+x（y-x）=yx-y^2+xy-x^2=2xy-x^2-y^2=-(x-y)^2

Answer 2

1原式=(x+y)(x-y)=x^2-y^2
2原式=y(x-y)-x(x-y)=(y-x)(x-y)=-(x-y)^2

Answer 3

1、原式=y^2-xy+x^2-xy=x^2-2xy+y^2=（x-y）^2
2、原式=xy-y^2+xy-x^2= -（x^2-2xy+y^2）= -（x-y）^2

Answer 4

1、y（x-y）+x（x-y）
=（x-y)(x+y)

2、y（x-y）+x（y-x）
=y(x-y)-x(x-y)
=(x-y)(y-x)
=-(x-y)^2

Answer 5

1.y(x-y)+x(x-y)=(x+y)(x-y)
2.y（x-y）+x（y-x）=-(x+y)(x-y)