多项式分解因式 1,x^2-y^2-3x+3y 2 ,(x-y)^2+4xy 3 ,x^2y+4y(x-3)

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多项式分解因式 1,x^2-y^2-3x+3y 2 ,(x-y)^2+4xy 3 ,x^2y+4y(x-3)
多项式分解因式 1,x^2-y^2-3x+3y 2 ,(x-y)^2+4xy 3 ,x^2y+4y(x-3)

多项式分解因式 1,x^2-y^2-3x+3y 2 ,(x-y)^2+4xy 3 ,x^2y+4y(x-3)
(x-y)(x+y-1)
(x+y)^2
y(x+6)(x-2)

1.(x+y-3)(x-y)
2.(x+y)^2
3.y(x+6)(x-2)

x^2-y^2-3x+3y
=(x^2-y^2)-(3x-3y)
=(x+y)(x-y)-3(x-y)
=(x+y-3)(x-y)
(x-y)^2+4xy
=x^2-2xy+y^2+4xy
=x^2+2xy+y^2
=(x+y)^2
x^2y+4y(x-3)
=y(x^2+4x-12)
=y(x+6)(x-2)