因式分解:1.(x-3y)^2-4x^2 2.x^2+2xy+y^2-2x-2y+1

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因式分解:1.(x-3y)^2-4x^2 2.x^2+2xy+y^2-2x-2y+1
因式分解:1.(x-3y)^2-4x^2 2.x^2+2xy+y^2-2x-2y+1

因式分解:1.(x-3y)^2-4x^2 2.x^2+2xy+y^2-2x-2y+1
1.(x-3y)^2-4x^2
=(x-3y+2x)(x-3y-2x)
=3(x-y)(-3y-x)
=3(y-x)(3y+x)
2.x^2+2xy+y^2-2x-2y+1
=(x+y)^2-2(x+y)+1
=(x+y-1)^2

1.(x-3y)^2-4x^2=(x-3y+2x)(x-3y-2x)=-3(x-y)(x+3y)
2.x^2+2xy+y^2-2x-2y+1=(x+y)²-2(x+y)+1=(x+y+1)²

.(x-3y)^2-4x^2
=(x-3y+2x)(x-3y-2x)
=(3x-3y)(-x-3y)
=-3(x-y)(x+3y)
x^2+2xy+y^2-2x-2y+1
=(x+y)^2-2(x+y)+1
=(x+y-1)^2
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