分数指数幂化简(x^1/2-x^1/4+1)(x^1/2+x^1/4+1)(x-x^1/2+1)

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分数指数幂化简(x^1/2-x^1/4+1)(x^1/2+x^1/4+1)(x-x^1/2+1)
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分数指数幂化简(x^1/2-x^1/4+1)(x^1/2+x^1/4+1)(x-x^1/2+1)
分数指数幂化简(x^1/2-x^1/4+1)(x^1/2+x^1/4+1)(x-x^1/2+1)

分数指数幂化简(x^1/2-x^1/4+1)(x^1/2+x^1/4+1)(x-x^1/2+1)
=(x^1/2+1-x^1/4)(x^1/2+1+x^1/4)(x-x^1/2+1)
=[(x^1/2+1)^2-(x^1/4)^2](x-x^1/2+1)
=(x+1+x^1/2)(x-x^1/2+1)
=(x+1)^2-(x^1/2)^2
=x^2+x+1