[(x+2y)(x-2y)+4(x-y)²]÷6x

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[(x+2y)(x-2y)+4(x-y)²]÷6x
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[(x+2y)(x-2y)+4(x-y)²]÷6x
[(x+2y)(x-2y)+4(x-y)²]÷6x

[(x+2y)(x-2y)+4(x-y)²]÷6x
[(x+2y)(x-2y)+4(x-y)²]÷6x
=(x^2-4y^2+4(x^2-2xy+y^2)÷6x
=(x^2-4y^2+4x^2-8xy+4y^2)÷6x
=(5x^2-8xy-)÷6x
=5/6·x-4/3·y

=(x²-4y²+4x²+4y²+8xy]÷6x
=5x/6+4/3*x*y

[x^2-4y^2+4x^2-8xy+4y^2]÷6x
=[5x^2-8xy]÷6x
=[5x-8y]/6