[(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

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