Nathan140857ask
résolu

Factorisez au mieux les cinq expressions suivantes : A = (5x-7)(2x + 3) + (5x-7)(4x - 1) C = (11x-2)(4x - 3) + 11x-2 E = 9x² - 16(3x - 1)² B = (8x + 3)² - (8x + 3)(-5x + 2) D = (-2x + 5)² - (8x + 1)²​

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Moziask

Bonjour,

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

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

A = (5x - 7) (6x + 2)

A = 2 (5x - 7) ( 3x + 1)

C = (11x - 2) (4x - 3) + 11x - 2

C = (11x - 2) (4x - 3) + (11x - 2) × 1

C = (11x - 2) (4x - 3 + 1)

C = (11x - 2) (4x - 2)

C = 2 (11x - 2) (2x - 1)

E = 9x² - 16(3x - 1)²

E = (3x)² - (4 (3x - 1))²

E = (3x - 4 (3x - 1)) (3x + 4 (3x - 1))

E = (3x - 12x + 4) (3x + 12x - 4)

E = (-9x + 4) (15x - 4)

B = (8x + 3)² - (8x + 3) (-5x + 2)

B = (8x + 3) (8x + 3) - (8x + 3) (-5x + 2)

B = (8x + 3) (8x + 3 - (-5x + 2))

B = (8x + 3) (8x + 3 + 5x - 2)

B = (8x + 3) (13x + 1)

D = (-2x + 5)² - (8x + 1)²​

D = (-2x + 5 - (8x + 1))​ (-2x + 5 + (8x + 1))

D = (-2x + 5 - 8x - 1)​ (-2x + 5 + 8x + 1)

D = (-10x + 4)​ (6x + 6)

D = -2 (5x - 2) × 6 (x + 1)

D = -12 (5x - 2) (x + 1)

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