x^2-4y^2\x^2+4xy+4y^2除以(x^2-2xy)结果是不是 1\x(x+2y)呐？

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$x^2-4y^2\x^2+4xy+4y^2除以(x^2-2xy)结果是不是 1\x(x+2y)呐？$

x^2-4y^2\x^2+4xy+4y^2除以(x^2-2xy)结果是不是 1\x(x+2y)呐？
x^2-4y^2\x^2+4xy+4y^2除以(x^2-2xy)
结果是不是 1\x(x+2y)呐？

x^2-4y^2\x^2+4xy+4y^2除以(x^2-2xy)结果是不是 1\x(x+2y)呐？
是(x^2-4y^2)/(x^2+4xy+4y^2)除以(x^2-2xy)吗?
如果是的话：
[(x²-4y²)/(x²+4xy+4y²)]÷(x²-2xy)
=[(x²-(2y)²]/[x(x+2y)²(x-2y)]
=(x+2y)(x-2y)/[x(x+2y)²(x-2y)]
=1/[x(x+2y)]
1/(x²+2xy)
补充答案：
楼主给出的解是正确的.
祝贺楼主!

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