[(2x+y)^2-(x+y)(x-4y)-5y^2]除以2x

[(2x+y)^2-(x+y)(x-4y)-5y^2]除以2x
[(2x+y)^2-(x+y)(x-4y)-5y^2]除以2x

[(2x+y)^2-(x+y)(x-4y)-5y^2]除以2x
原式=(4x²+4xy+y²-x²+3xy+4y²-5y²)÷2x
=(4x²+7xy)÷2x
=2x+3.5y

展开上式
4x^2+4xy+y^2-x^2+3xy+4y^2-5y^2
=3x^2+7xy
(3x^2+7xy)/2x=3/2x+7/2y