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Bonjour je dois factoriser sa : ( x + 2) ² - 9 / 25x ² - 9 - (5x+3)(5-x). (x+2) ² -(x+2) 9x puissance 4 - 12x ² +4 Pouvez vous m’aidez svp

Sagot :

Bonjour

Factoriser :

À) ( x + 2) ² - 9

= (x + 2)^2 - 3^2

= (x + 2 - 3)(x + 2 + 3)

= (x - 1)(x + 5)

B) 25x ² - 9 - (5x+3)(5-x).

= (5x)^2 - 3^2 - (5x + 3)(5 - x)

= (5x - 3)(5x + 3) - (5x + 3)(5 - x)

= (5x + 3)(5x - 3 - 5 + x)

= (5x + 3)(6x - 8)

= (5x + 3) * 2(3x - 4)

= 2(5x + 3)(3x - 4)

C) (x+2) ² -(x+2)

= (x + 2)(x + 2 - 1)

= (x + 2)(x + 1)

D) 9x puissance 4 - 12x ² +4

= (3x^2)^2 - 3(2x)^2 + 4

= 3x^2(3x^2 - 4) + 4

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