Réponse :
bonjour
A = 4x ( x + 3 ) +2 ( x + 3 )
= ( x + 3 ) ( 4 x + 2 )
= 2 ( x + 3 ) ( 2 x + 1 )
B = ( 3x + 2 ) + ( x + 4 ) ( 3x + 2 )
= ( 3 x + 2 ) ( x + 4 )
C= ( 3x - 5 ) ( x + 1 ) + ( x + 1 ) ( 7x + 3 )
= ( x + 1 ) ( 3 x - 5 + 7 x + 3 )
= ( x + 1 ) ( 10 x - 2 )
= 2 ( x + 1 ) ( 5 x - 1 )
D = 3x ( 2 + x ) +4 ( 2 + x )
= ( 2 + x ) ( 3 x + 4 )
E = ( 2x - 1 ) ( x - 1 ) -2 ( x - 1 )
= ( x - 1 ) ( 2 x - 1 - 2 )
= ( x - 1 ) ( 2 x - 3 )
F = ( 5x + 2 ) ( 2x - 1 ) - ( 5x + 2 ) ( 5 - x )
= ( 5 x + 2 ) ( 2 x - 1 - 5 + x )
= ( 5 x + 2 ) ( 3 x - 6 )
= 3 ( 5 x + 2 ) ( x - 2 )
Explications étape par étape :
Bonsoir,
A = 4x ( x + 3 ) +2 ( x + 3 )
(x+3) ( 4x+2)
B = ( 3x + 2 ) + ( x + 4 ) ( 3x + 2 )
(3x+2) ( 1 +x+4) =
(3x+2) ( x+5)
C= ( 3x - 5 ) ( x + 1 ) + ( x + 1 ) ( 7x + 3 )
(x+1) ( 3x-5 +7x +3)
= (x+1) ( 10x -2)
D = 3x ( 2 + x ) +4 ( 2 + x )
(2+x) ( 3x +4)
E = ( 2x - 1 ) ( x - 1 ) -2 ( x - 1 )
(x-1) ( 2x-1 -2)
= (x-1)( 2x-3)
F = ( 5x + 2 ) ( 2x - 1 ) - ( 5x + 2 ) ( 5 - x )
= (5x+2) ( 2x-1 -5 +x)
= (5x+2) ( 3x -6)