Sagot :
Bonsoir,
A = 16x² + 24x + 9
IR: (a+b)² = a² +2ab +b²
(4x +3) ²
B = (2x - 1)² - 4
IR: (a-b) (a+b) = a²-b²
(2x-1-4) (2x-1+4)
= (2x-5) ( 2x +3)
C = (3x + 1) (2 - 5x) - (5 + x) (2 - 5x)
(2-5x)( 3x+1 -5-x)
= (2-5x) ( 2x -4)
Explications étape par étape :
A = 16x + 24x + 9
⇔ A = 40x + 9
B = ( 2x - 1 )² - 4 a² - b² = ( a - b ) ( a + b )
⇔ B = ( 2x - 1 - 2 ) ( 2x - 1 + 2 )
⇔ B = ( 2x - 3 ) ( 2x + 1 )
⇔ B = 4x² + 2x - 6x - 3
⇔ B = 4x² - 4x - 3
C = ( 3x + 1 ) ( 2 - 5x ) - ( 5 + x ) ( 2 - 5x )
⇔ C = ( 2 - 5x ) [ ( 3x + 1 ) - ( 5 + x ) ]
⇔ C = ( 2 - 5x ) ( 3x + 1 - 5 - x )
⇔ C = ( - 5x +2 ) ( 2x - 4 )
⇔ C = -10x² + 20x + 4x - 8
⇔ C = -10x² + 24x - 8