[(X+Y)²-(X-Y)²-4X²Y²]/(2XY)

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[(X+Y)²-(X-Y)²-4X²Y²]/(2XY)
[(X+Y)²-(X-Y)²-4X²Y²]/(2XY)

[(X+Y)²-(X-Y)²-4X²Y²]/(2XY)
[(X+Y)²-(X-Y)²-4X²Y²]/(2XY)
=[(X+Y-X+Y)(X+Y+X-Y)-4X²Y²]/(2XY)
=[4XY-4X²Y²]/(2XY)
=4XY[1-XY]/(2XY)
=2[1-XY]
=2-2XY