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