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

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

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