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  (x+1)(x-1)(x²-x+1)(x²+x+1)计算大根号9-4根号5化简2x²+4x-3分解因式

  (x+1)(x-1)(x²-x+1)(x²+x+1)计算大根号9-4根号5化简2x²+4x-3分解因式

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2020-01-1621:02
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陈云芳

  (x+1)(x-1)(x²-x+1)(x²+x+1)

  =(x+1)(x²-x+1)((x-1)(x²+x+1)

  =(x^3+1)(x^3-1)

  =x^6-1

  √(9-4√5)

  =√(2-√5)^2

  =√5-2

  2x²+4x-3

  =2(x²+2x+1)-2-3

  =2(x+1)²-5

  =2[(x+1)²-(√10/2)²]

  =2(x+1+√10/2)(x+1-√10/2)

2020-01-16 21:06:13
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