Factorisez lorsque cela est possible. A(t)=(2t-1)(t+1)-2(t+1) B(t)=(t - 4)au carré +(t - 4)(2t+3) C(t)=(2t - 1)(3t+5)+4t(3t+5) D(t)=(5t - 1)(3t - 2) - (5t - 1)
Mathématiques
shannonferrey1
Question
Factorisez lorsque cela est possible.
A(t)=(2t-1)(t+1)-2(t+1)
B(t)=(t - 4)au carré +(t - 4)(2t+3)
C(t)=(2t - 1)(3t+5)+4t(3t+5)
D(t)=(5t - 1)(3t - 2) - (5t - 1) au carré
A(t)=(2t-1)(t+1)-2(t+1)
B(t)=(t - 4)au carré +(t - 4)(2t+3)
C(t)=(2t - 1)(3t+5)+4t(3t+5)
D(t)=(5t - 1)(3t - 2) - (5t - 1) au carré
1 Réponse
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1. Réponse Anonyme
Bonsoir,
A(t) = (2t -1)(t + 1) - 2(t + 1)
= (t + 1) [(2t -1) - 2]
= (t + 1) (2t -1 - 2)
= (t + 1) (2t -3)
B(t) = (t - 4)² + ( t - 4) (2t + 3)
= (t - 4)(t - 4) + ( t - 4) (2t + 3)
= (t - 4) [(t - 4) + (2t + 3)]
= (t - 4) (t - 4 + 2t + 3)
= (t - 4) (3t - 1)
C(t) = (2t - 1)(3t + 5) + 4t(3t + 5)
= (3t + 5) [(2t - 1) + 4t]
= (3t + 5) (2t - 1 + 4t)
= (3t + 5) (6t - 1)
D(t) = (5t - 1)(3t - 2) - (5t - 1)²
= (5t - 1)(3t - 2) - (5t - 1)(5t - 1)
= (5t - 1) [(3t - 2) - (5t - 1)]
= (5t - 1) (3t - 2 - 5t + 1)
= (5t - 1) (-2t - 1)