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Exercice 4 et 5 svp voir pièce jointe

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MichaelS

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Exercice 4 :
t² + 14t + 49 = (t + 7)²
x² - 10x + 25 = (x+5)²
36 - 49x² = 6² - (7x)² = (7x+6)(7x-6)
(9x-5)² - 16x² = (9x - 5 - 4x)(9x - 5 + 4x) = (5x - 5)(13x - 5)

E = (3x 1/3 + 2)² - (3 x 1/3 + 2)(3 x 1/3 + 7)
E = (1+2)² - (1+2)(1+7)
E = 9 - 24
E = -15

exercice 5 :
aire du carré = (√3 + 3)² = (√3)² + 2x3x√3 + 3² = 3 + 6√3 + 9 = 12 + 6√3

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