SPIRITCOS
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Exercice 6 : Développer et réduire (double distributivité)
A = (x + 3)(x - 5)
B = (a - 5)(a - 7)
C = (2x + 5)(3x - 2)
D = (5x + 6)(2x - 7)
E = (-5y + 3)(-3y -- 4)
F = (5x + 4)(2x - 3) + (3x + 5)(2x - 7)
G = (2a - 3)(5a - 1) + (3a - 2) (3a-5)
G = (2x - 3)(5x - 4) - (3x - 5)(4x + 3)

Sagot :

MAUDMARINE

Bonjour

Développer et réduire (double distributivité)

A = (x + 3)(x - 5)

A = x² - 5x + 3x - 15

A = x² - 2x - 15

B = (a - 5)(a - 7)

B = a² - 7a - 5a + 35

B = a² - 12a + 35

C = (2x + 5)(3x - 2)

C = 6x² - 4x + 15x - 10

C = 6x² + 11x - 10

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

D = 10x² - 35x + 12x - 42

D = 10x² - 23x - 42

E = (-5y + 3)(-3y -- 4) erreur de signe

F = (5x + 4)(2x - 3) + (3x + 5)(2x - 7)

F = 10x² - 15x + 8x - 12 + 6x² - 21x + 10x - 35

F = 10x² + 6x² + 8x + 10x - 21x - 15x - 12 - 35

F = 16x² - 18x - 47

G = (2a - 3)(5a - 1) + (3a - 2) (3a-5)

G = 10a² - 2a- 15a + 3 + 9a² - 15a - 6a + 10

G = 10a² + 9a² - 2a - 15a - 15a - 6a + 3 + 10

G = 19a² - 38a + 13

H = (2x - 3)(5x - 4) - (3x - 5)(4x + 3)

H = 10x² - 8x - 15x + 12 - (12x² + 9x - 20x - 15)

H = 10x² - 8x - 15x + 12 - 12x² - 9x + 20x + 15

H = 10x²- 12x² - 8x - 15x - 9x + 20x + 12 + 15

H = 2x² - 12x + 27.