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Sagot :

MAUDMARINE

Bonjour

1) Développer :

E = (2x + 1) (5x + 3) - (7 - 4x) (2x + 1)

E = 10x² + 6x + 5x + 3 - (14x + 7 - 8x² - 4x)

E = 10x² + 6x + 5x + 3 - 14x - 7 + 8x² + 4x

E = 10x² + 8x²+ 6x + 5x + 4x - 14x + 3 - 7

E = 18x² + x - 4

2) Factoriser :

E = (2x + 1) (5x + 3) - (7 - 4x) (2x + 1)

E = (2x + 1) [(5x + 3) - (7 - 4x)]

E = (2x + 1) (5x + 3 - 7 + 4x)

E = (2x + 1) (9x - 4)

3) x = 0

E = 18x² + x - 4

E = 18 * 0 + 0 - 4

E = - 4

x = - 1/2

E = 18x² + x - 4

E = 18 * (- 1/2)² - 1/2 - 4

E = 18 * 1/4 - 1/2 - 4

E = 18/4 - 2/4 - 16/4

E = 18/4 - 16/4

E = 0.

LOULAKAR

Réponse :

Explications étape par étape

Bonsoir

Developper :

E = (2x + 1)(5x + 3) - (7 - 4x)(2x + 1)

E = 10x^2 + 6x + 5x + 3 - (14x + 7 - 8x^2 - 4x)

E = 10x^2 + 8x^2 + 11x - 10x + 3 - 7

E = 18x^2 + x - 4

Factoriser :

E = (2x + 1)(5x + 3) - (7 - 4x)(2x + 1)

E = (2x + 1)(5x + 3 - 7 + 4x)

E = (2x + 1)(9x - 4)

Calculer E pour les valeurs suivantes :

x = 0 et x = -1/2

E = 18 * 0^2 + 0 - 4

E = (-4)

E = (2 * (-1/2) + 1)(9 * (-1/2) - 4)

E = (-1 + 1)(-9/2 - 4)

E = 0

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