(x^1/2)/(x+x^1/2+1)÷(1)/(x^3/2-1)怎样化简?（详细一点）

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(x^1/2)/(x+x^1/2+1)÷(1)/(x^3/2-1)怎样化简?（详细一点）(x^1/2)/(x+x^1/2+1)÷(1)/(x^3/2-1)怎样化简?（详细一点）(x^1/2)/(x+x

(x^1/2)/(x+x^1/2+1)÷(1)/(x^3/2-1)怎样化简?（详细一点）
(x^1/2)/(x+x^1/2+1)÷(1)/(x^3/2-1)怎样化简?（详细一点）

(x^1/2)/(x+x^1/2+1)÷(1)/(x^3/2-1)怎样化简?（详细一点）
原式=(x^1/2)/(x+x^1/2+1)/1/[(x^1/2-1)(x+x^1/2+1)]
=(x^1/2)(x^1/2-1)
=x-(x^1/2)

(x^1/2)/(x+x^1/2+1)÷(1)/(x^3/2-1)
=(√x)/(x+√x+1)÷(1)/(x√x-1)
=√x(x√x-1)/ (x+2√x+1-√x)
=(x²-√x)/ ((√x+1) ²-√x)

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