fatore e simplifique as expressoes o maximo que puder:?

Comments

• jg

  June 2021

  a) x³(x+2) - x(x+2)elevado a 4

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  2x² + 6x +4

  x³(x+2) - x(x+2)elevado a 4

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  2.(x² + 3x + 2)

  x³(x+2) - x(x+2)elevado a 4

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  2.(x + 2).(x + 1)

  Simplificando o (x + 2):

  x³ - x(x+2)elevado a 3

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  2.(x + 1)

  x³ - x(x+2)³

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  2.(x + 1)

  x.x² - x(x+2)³

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  2.(x + 1)

  x.x² - x(x³ + 6x² + 12x + 8)

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  2.(x + 1)

  x.[x² - (x³ + 6x² + 12x + 8)]

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  2.(x + 1)

  x.(x² - x³ - 6x² - 12x - 8)

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  2.(x + 1)

  x.(-x³ - 5x² - 12x - 8)

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  2.(x + 1)

  x.(-x² - 4x - 8).(x + 1)

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  2.(x + 1)

  Simplificando por (x + 1)

  x.(-x² - 4x - 8)

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  2

  0,5x.(-x² - 4x - 8)

  - 0,5x.(x² + 4x + 8)

  b) 6x – 9

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  12x²+36x+27

  3.(2x - 3)

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  3.(4x²+12x+9)

  Simplificando por 3

  (2x - 3)

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  (4x²+12x+9)

  (2x - 3)

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  (2x + 3)²