因式分解x2-4xy+4y2+x-2y-2

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因式分解x2-4xy+4y2+x-2y-2

因式分解x2-4xy+4y2+x-2y-2
因式分解x2-4xy+4y2+x-2y-2

因式分解x2-4xy+4y2+x-2y-2
x2-4xy+4y2+x-2y-2
=(x-2y)^2+(x-2y)-2
=(x-2y+2)(x-2y-1)

x^2-4xy+4y^2+x-2y-2
=(x-2y)^2+(x-2y)+1/4-9/4
=(x-2y+1/2)^2-9/4
=(x-2y+1/2+3/2)(x-2y+1/2-3/2)
=(x-2y+2)(x-2y-1)

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