将x^2+4(xy-1)+4y^2因式分解谢谢

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将x^2+4(xy-1)+4y^2因式分解谢谢
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将x^2+4(xy-1)+4y^2因式分解谢谢
将x^2+4(xy-1)+4y^2因式分解
谢谢

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

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

=x²+4xy+4y²-4=(x+2y)²-2²=(x+2y+2)(x+2y-2)

x^2+4(xy-1)+4y^2
=x^2+4xy-4+4y^2
=(x+2y)^2-4
=(x+2y-2)(x+2y+2)
望采纳O(∩_∩)O~

(x+2y)^2-4=(x+2y+2)(x+2y-2)