Exercice 4: Factorise les expressions suivantes.
E = 5x x 7+ 5xx (x + 10)
F = 6(5+ 3x) - 6 x 2x
G = (2x-7) x 3x + 3x(x - 5)
H = 2x(x + 3) - 2x(5-7x)
E = 5x x 7+ 5xx (x + 10)
F = 6(5+ 3x) - 6 x 2x
G = (2x-7) x 3x + 3x(x - 5)
H = 2x(x + 3) - 2x(5-7x)
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Réponse :
Explications étape par étape :
E = 5x x 7+ 5xx (x + 10) = 35x + 5x(x + 10) = 5x(7 + x + 10) = 5x(x + 17)
F = 6(5+ 3x) - 6 x 2x = 30 + 18x - 12x = 30 + 6x
G = (2x-7) x 3x + 3x(x - 5) = 6x^2 - 21x + 3x^2 - 15x = 9x^2 - 36x
H = 2x(x + 3) - 2x(5-7x) = 2x^2 + 6x - 10x + 14x^2 = 16x^2 - 4x