Réponse :
Explications étape par étape :
a/ (x+3)²
=x² +12x +9
x² +12x +9 ≠ x ² +9
b/ (2x + 1)(2-x)
= 4x -2x² +2 -x
= -2x² +3x +2
-2x² +3x +2 = - 2x² + 3x + 2
vrai
c/ (x + 1)(4x + 1)
= 4x² +x +4x +1
= 4x² +5x +1
(x + 1)(3x + 4) + (x + 1)(x − 3)
= 3x² +4x +3x + 4 +x² -3x +x -3
= 4x² + 5x +1
4x² +5x +1 =4x² + 5x +1
d/ (4x+3)(1-x)
= 4x -4x² +3 -3x
= -4x² +x +3
(1-2x) (2x + 3) + 5x
= 2x +3 -4x² -6x +5x
= -4x² + x +3
-4x² +x +3 = -4x² +x +3
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Réponse :
Explications étape par étape :
a/ (x+3)²
=x² +12x +9
x² +12x +9 ≠ x ² +9
b/ (2x + 1)(2-x)
= 4x -2x² +2 -x
= -2x² +3x +2
-2x² +3x +2 = - 2x² + 3x + 2
vrai
c/ (x + 1)(4x + 1)
= 4x² +x +4x +1
= 4x² +5x +1
(x + 1)(3x + 4) + (x + 1)(x − 3)
= 3x² +4x +3x + 4 +x² -3x +x -3
= 4x² + 5x +1
4x² +5x +1 =4x² + 5x +1
vrai
d/ (4x+3)(1-x)
= 4x -4x² +3 -3x
= -4x² +x +3
(1-2x) (2x + 3) + 5x
= 2x +3 -4x² -6x +5x
= -4x² + x +3
-4x² +x +3 = -4x² +x +3
vrai