Développer puis simplifier les expressions suivantes :
-
A = (2x + 2)(5x - 5) + 3x - 2
A = (2x + 2)(5x - 5) + 3x - 2
A = 10x2 - 10x + 10x - 10 + 3x - 2
A = 10x2 + 3x - 12 -
B = (2x - 1)(2x - 1)
B = (2x - 1)(2x - 1)
B = (2x - 1)2 = 4x2 - 4x + 1 -
C = (3x + 2)(4x - 1)(3x - 2)
C = (3x + 2)(4x - 1)(3x - 2) = (3x + 2)(3x - 2)(4x - 1)
C = (9x2 - 4)(4x - 1)
C = 36x3 - 9x2 - 16x + 4 -
D = (x - 4)² - 4
D = (x - 4)2 - 4 = x2 - 8x + 16 - 4
D = x2 - 8x + 12 -
E = (x - 5)²(x - 2)
E = (x - 5)2(x - 2)
E = (x2 - 10x + 25)(x - 2)
E = x3 - 2x2 - 10x2 + 20x + 25x - 50
E = x3 - 12x2 + 45x - 50