Réponse :
Explications étape par étape
56/ A = x² - 2x + 1 a² - 2ab + b²
A = ( x - 1 )²
B = 36 - 49x² forme a² - b² = ( a - b ) ( a + b)
B = ( 6 - 7x ) . ( 6 + 7x )
C = 4x² - 9
C = ( 2x - 3 ) . ( 2x + 3 )
D = x² - 10 x + 25 a² - 2ab + b²
D = ( x - 5 )²
E = t² + 4 t + 4 a² + 2ab + b²
E = ( t + 2 )²
F = t² + 14t + 49
F = ( t + 7 )²
57/ A = ( 2a - 1 )² - ( 3a + 2 )² forme a² - b² = ( a - b ) ( a + b)
A = [ 2a - 1 - (3a + 2 ) ] . [( 2a - 1 + 3a + 2 ) ]
A = ( 2a - 1 - 3a - 2 ) . ( 2a - 1 + 3a + 2 )
A = ( -a -3 ) ( 5a + 1 )
B = 9 - 64x²
B = ( 3 - 8x ) . ( 3 + 8x )
C = 9 + 30x + 25x²
C = 25x² + 30x + 9 a² + 2ab + b²
C = ( 5x + 3 )²
D = 25x² - 30x + 9
D = ( 5x - 3 )²
E = 16x² - 8x + 1
E = ( 4x - 1 )²
F = 9t² + 24t + 16
F = ( 3t + 4 )²
