bonjour quelqu'unpourrait a m'aier a factoriser svp :
A= (x+1)²-(3x-1)(x+1)
B= 9x²-12x+4
C= (3x-8)²-121
D=49x²+14x+1
merci d'avance ;)
A = (x + 1)² − (3x − 1) (x + 1) = (x + 1) (x + 1) − (3x − 1) (x + 1) = (x + 1) [ (x +1) − (3x − 1) ] = (x + 1) (x + 1 − 3x + 1) = (x + 1) (−2x + 2)
B = 9x² − 12x + 4 = (3x)² − 2(3x)(2) + (2)² = (3x − 2)² car a² − 2ab + b² = (a − b)²
C = (3x − 8)² − 121 = (3x − 8)² − (11)² = (3x − 8 + 11) (3x − 8 − 11) car a² − b² = (a + b) (a − b) = (3x − 3) (3x − 19)
D = 49x² + 14x + 1 = (7x)² + 2(7x)(1) + 1² = (7x + 1)² car a² + 2ab + b² = (a + b)²
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A = (x + 1)² − (3x − 1) (x + 1)
= (x + 1) (x + 1) − (3x − 1) (x + 1)
= (x + 1) [ (x +1) − (3x − 1) ]
= (x + 1) (x + 1 − 3x + 1)
= (x + 1) (−2x + 2)
B = 9x² − 12x + 4
= (3x)² − 2(3x)(2) + (2)²
= (3x − 2)² car a² − 2ab + b² = (a − b)²
C = (3x − 8)² − 121
= (3x − 8)² − (11)²
= (3x − 8 + 11) (3x − 8 − 11) car a² − b² = (a + b) (a − b)
= (3x − 3) (3x − 19)
D = 49x² + 14x + 1
= (7x)² + 2(7x)(1) + 1²
= (7x + 1)² car a² + 2ab + b² = (a + b)²