Répondre :
F=(3x-16)²-2
=9x²-96x+256-2
=9x²-96x+254
E=(2x-3)²-16
=4x²-12x+9-16
=4x²-12x-7
(2x-7)(2x+1)
=4x²+2x-14x-7
=4x²-12x-7
=E
Donc E=(2x-7)(2x+1)
On pose : F = (3x - 16)2 - 2. Développer et réduire F. b)On pose : E = (2x - 3)2 - 16. Montrer que E = (2x - 7)(2x+1).
F=(3x-16)²-2
=9x²-96x+256-2
=9x²-96x+254
E=(2x-3)²-16
=4x²-12x+9-16
=4x²-12x-7
(2x-7)(2x+1)
=4x²+2x-14x-7
=4x²-12x-7
=E
Donc E=(2x-7)(2x+1)