Réponse :
Explications étape par étape
Bonjour
Exercice 4 :
Factoriser :
A(x) = x^2 + 2x
A(x) = x * x + 2 * x
A(x) = x(x + 2)
B(x) = 7x(x - 4) + (x - 4)^2
B(x) = 7x * (x - 4) + (x - 4) * (x - 4)
B(x) = (x - 4)(7x + x - 4)
B(x) = (x - 4)(8x - 4)
B(x) = (x - 4)(4 * 2x - 4 * 1)
B(x) = (x - 4) * 4(2x - 1)
B(x) = 4(x - 4)(2x - 1)
C(x) = (x + 1)(2x + 5) - (x + 1)(3x + 4)
C(x) = (x + 1)(2x + 5 - 3x - 4)
C(x) = (x + 1)(-x + 1)
D(u) = 9u^2 + 3u
D(u) = 3u * 3u + 3u * 1
D(u) = 3u(3u + 1)
E(t) = (2 - t)(3t + 1) + (3t + 1)
E(t) = (3t + 1)(2 - t + 1)
E(t) = (3t + 1)(-t + 3)
Exercice 5 :
Effectuer sans calculatrice :
D = 48 x 99
D = 48 x (100 - 1)
D = 48 x 100 - 48 x 1
D = 4800 - 48
D = 4752
E = 57 x 101
E = 57 x (100 + 1)
E = 57 x 100 + 57 x 1
E = 5700 + 57
E = 5757
F = 101^2
F = (100 + 1)^2
F = 100^2 + 2 * 100 * 1 + 1^2
F = 10000 + 200 + 1
F = 10201
