[(x+2y)(x-2y)+4(x-y)²]÷6x
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![[(x+2y)(x-2y)+4(x-y)²]÷6x](/uploads/image/z/587404-28-4.jpg?t=%5B%28x%2B2y%29%28x-2y%29%2B4%28x-y%29%26%23178%3B%5D%C3%B76x)
[(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
=(x²-4y²+4x²-8xy+4y²)÷6x
=(5x²-8xy)÷6x
=(5x-8y)/6
[(x+2y)(x-2y)+4(x-y)²]÷6x=(x^2-4y^2+4x^2+4y^2-8xy)/6x=(5x^2-8xy)/6x=5x/6-4y/3