[(x+2y）²-(x-2y)(x+2y)]÷4y

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

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

[(x+2y）²-(x-2y)(x+2y)]÷4y
[(x+2y）²-(x-2y)(x+2y)]÷4y
=(x²+4xy+4y²-x²+4y²)÷4y
=4y(x+2y)÷4y
=x+2y