Réponse :
A) -3x + 2(4x + 7)
= -3x + 2 x 4 2 x 7
= -3x + 8 + 14
= -3x + 22
B) 3(4x + 8) - 5(3x + 1)
= (3 x 4x + 3 x 8) - (5 x 3x + 5 x 1)
= ( 12x + 24 ) - ( 15x + 5)
= 12x + 24 + 15x - 5
= 27x - 29
C) (5x + 2) (6x + 4)
= 5x x 6x + 5x x 4 + 2 x 6x + 2 x 4
= 30x + 20x + 12x + 8
= 62x + 8
D) (5x - 3) (-4x + 2)
= 5x x (-4x) - 5x x 2 - 3 x (-4x) + 3 x 2
= -20x - 10x + 12 + 6
= -30x + 18
E) (-4 + 3x) (3 + 2x)
= (-4) x 3 + (-4) x 2x + 3x x 3 + 3x x 2x
= -12 + -8 + 9x + 6x
= 9x + 6x - 12 - 8
= 15x - 4
Explications étape par étape
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Réponse :
A) -3x + 2(4x + 7)
= -3x + 2 x 4 2 x 7
= -3x + 8 + 14
= -3x + 22
B) 3(4x + 8) - 5(3x + 1)
= (3 x 4x + 3 x 8) - (5 x 3x + 5 x 1)
= ( 12x + 24 ) - ( 15x + 5)
= 12x + 24 + 15x - 5
= 27x - 29
C) (5x + 2) (6x + 4)
= 5x x 6x + 5x x 4 + 2 x 6x + 2 x 4
= 30x + 20x + 12x + 8
= 62x + 8
D) (5x - 3) (-4x + 2)
= 5x x (-4x) - 5x x 2 - 3 x (-4x) + 3 x 2
= -20x - 10x + 12 + 6
= -30x + 18
E) (-4 + 3x) (3 + 2x)
= (-4) x 3 + (-4) x 2x + 3x x 3 + 3x x 2x
= -12 + -8 + 9x + 6x
= 9x + 6x - 12 - 8
= 15x - 4
Explications étape par étape