Bonsoir :)
Réponse en explications étape par étape :
- Question : Développer et réduire ces expressions :
A = 7/3(6x + 3) + 5/2(4 - 2x)
A = 7/3 * 3(2x + 1) + 5/2 * 2(2 - x)
A = 7(2x + 1) + 5(2 - x)
A = (7 * 2x) + (7 * 1) + (5 * 2) - (5 * x)
A = 14x + 7 + 10 - 5x
A = 9x + 17
B = 4(1 - 7y) + (4y - 5)(y - 1)
B = (4 * 1) - (4 * 7y) + (4y * y) - (4y * 1) - (5 * y) + (5 * 1)
B = 4 - 28y + 4y² - 4y - 5y + 5
B = 4y² - 37y + 9
C = 3t(t + 1) + (5 + t)(t - 2)
C = (3t * t) + (3t * 1) + (5 * t) - (5 * 2) + (t * t) - (t * 2)
C = 3t² + 3t + 5t - 10 + t² - 2t
C = 4t² + 6t - 10
D = (4k - 1)(9 + k) - 9k(10 - 3k)
D = (4k * 9) + (4k * k) - (1 * 9) - (1 * k) - (9k * 10) + (9k * 3k)
D = 36k + 4k² - 9 - k - 90k + 27k²
D = 31k² - 55k + 9
E = (m + 2)(8 + 3m) - 2(1 - m)(m - 7)
E = (m * 8) + (m * 3m) + (2 * 8) + (2 * 3m) + (2m - 2)(m - 7)
E = 8m + 3m² + 16 + 6m + (2m * m) - (2m * 7) - (2 * m) + (2 * 7)
E = 3m² + 14m + 16 + 2m² - 14m - 2m + 14
E = 5m² - 2m + 30
Voilà
