两道分式乘除法计算,要详细过程,谢谢
(1)(a/b)²÷(2a²/5b²)*a/5b(2)4x²-4xy+y²/2x+y÷(4x²-y²...
(1)(a/b)²÷(2a²/5b²)*a/5b (2)4x²-4xy+y²/2x+y÷(4x²-y²)
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2013-05-13
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(a/b)²÷(2a²/5b²)*a/5b
=(a/b)²÷2/5*(a/b)²*1/5*a/b
=5/2*1/5*a/b
=a/2b
(2)
4x²-4xy+y²/2x+y÷(4x²-y²)
=(2x-y)²/2x+y÷((2x+y)*2x-y))
=(2x-y)/(2x+y)²
=(a/b)²÷2/5*(a/b)²*1/5*a/b
=5/2*1/5*a/b
=a/2b
(2)
4x²-4xy+y²/2x+y÷(4x²-y²)
=(2x-y)²/2x+y÷((2x+y)*2x-y))
=(2x-y)/(2x+y)²
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