Bonjour,
Développer les expressions :
Double distributivité :
Distributivité simple :
A = (5 + 2x)(3x - 4)
A = 5*3x + 5*(-4) + 2x*3x + 2x*(-4)
A = 15x - 20 + 6x² - 8x
A = 6x² + 7x - 20
✅
B =(-4t - 2)(3t - 10)
B = -4t*3t + (-4t)*(-10) + (-2)*3t + (-2)*(-10)
B = -12t² + 40t - 6t + 20
B = -12t² + 34t + 20
✅
C = (x + 9)(5x - 3) + 4(2x - 5)
C = x*5x + x*(-3) + 9*5x + 9*(-3) + 4(2x - 5)
C = 5x² - 3x + 45x - 27 + 4(2x - 5)
C = 5x² + 42x - 27 + 4(2x - 5)
C = 5x² + 42x - 27 + 4*2x + 4*(-5)
C = 5x² + 42x - 27 + 8x - 20
C = 5x² + 50x - 47
✅
* = multiplication
Bonne journée