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计算:X^2-Y^2/X^2+2XY+Y^2除以X+2Y/2X^2+2XY

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计算:X^2-Y^2/X^2+2XY+Y^2除以X+2Y/2X^2+2XY
原式
=(x+y)(x-y)/(x+y)² × 2x(x+y)/(x+2y)
=(x-y)/(x+y) × 2x(x+y)/(x+2y)
=2x(x-y)/(x+2y)
=(2x²-2xy)/(x+2y)