计算:(1)(x/2y)²乘y/2x-x/y²÷2y²/x,(2)x+1/x乘(2x/x+
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计算:(1)(x/2y)²乘y/2x-x/y²÷2y²/x,(2)x+1/x乘(2x/x+1)²-(.1/x-1.-.1/x+1.)
(1)(x/2y)²乘y/2x-x/y²÷2y²/x,
=x²/4y²×y/2x -x/y²×x/2y²
=x/8y -x²/4y^4
(2)x+1/x乘(2x/x+1)²-(.1/x-1.-.1/x+1.)
=4x/(x+1)- (x+1-x+1)/(x-1)(x+1)
=4x/(x+1)- 2/(x-1)(x+1)
=[4x(x-1)-2]/(x-1)(x+1)
=(4x²-4x-2)/(x-1)(x+1)
=x²/4y²×y/2x -x/y²×x/2y²
=x/8y -x²/4y^4
(2)x+1/x乘(2x/x+1)²-(.1/x-1.-.1/x+1.)
=4x/(x+1)- (x+1-x+1)/(x-1)(x+1)
=4x/(x+1)- 2/(x-1)(x+1)
=[4x(x-1)-2]/(x-1)(x+1)
=(4x²-4x-2)/(x-1)(x+1)
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