Réponse :
Explications étape par étape
Bonsoir
factoriser ceci:
B= (t-3) (5-t)+(9t au carré - 24t-9)
B = (t - 3)(5 - t) + (3t)^2 - 2 * 3t * 4 + 4^2 - 4^2 - 9
B = (t - 3)(5 - t) + (3t - 4)^2 - 16 - 9
B = (t - 3)(5 - t) + (3t - 4)^2 - 25
B = (t - 3)(5 - t) + (3t - 4)^2 - 5^2
B = (t - 3)(5 - t) + (3t - 4 - 5)(3t - 4 + 5)
B = (t - 3)(5 - t) + (3t - 9)(3t + 1)
B = (t - 3)(5 - t) + 3(t - 3)(3t + 1)
B = (t - 3)[5 - t + 3(3t + 1)]
B = (t - 3)(5 - t + 9t + 3)
B = (t - 3)(8t + 8)
B = (t - 3) * 8(t + 1)
B = 8(t - 3)(t + 1)