[(x+2y)²-(x-y)(x+2y)-5y²]÷(2y)

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[(x+2y)²-(x-y)(x+2y)-5y²]÷(2y)
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[(x+2y)²-(x-y)(x+2y)-5y²]÷(2y)
[(x+2y)²-(x-y)(x+2y)-5y²]÷(2y)

[(x+2y)²-(x-y)(x+2y)-5y²]÷(2y)
[(x+2y)²-(x-y)(x+2y)-5y²]÷(2y)
=[(x²+4xy+4y²)-(x²+xy-2y²)-5y²]÷(2y)
=(x²+4xy+4y²-x²-xy+2y²-5y²)÷(2y)
=(3xy-y²)÷(2y)
=2分之(3x-y)