Réponse :
Explications étape par étape
Bonsoir
(-X+3)(4X-4)+16X²-16
- Develloper,
= -12x^2 + 4x + 12x - 12 + 16x^2 - 16
= 4x^2 + 16x - 28
- Factoriser,
= (-x - 3)(4x - 4) + (4x)^2 - 4^2
= (-x - 3)(4x - 4) + (4x - 4)(4x + 4)
= (4x - 4)(-x - 3 + 4x + 4)
= 4(x - 1)(3x + 1)
- A=? | x=3/10 (fraction)
A = 4(3/10 - 1)(3 * 3/10 + 1)
A = 4(3/10 - 10/10)(9/10 + 10/10)
A = 4(-7/10)(19/10)
A = -7/5 * 19/5
A = -133/25
- A=0 | x=?
4(x - 1)(3x + 1) = 0
x - 1 = 0 ou 3x + 1 = 0
x = 1 ou 3x = -1
x = 1 ou x = -1/3
2)
(2X+9)²+(9X+6)(2X+9)
- Develloper
= 4x^2 - 36x + 81 + 18x^2 + 81x + 12x + 54
= 22x^2 + 57x + 135
- Factoriser
= (2x + 9)(2x + 9 + 9x + 6)
= (2x + 9)(11x + 15)