Bonsoir,
Exercice 3 : Développer et réduire les expressions suivantes.
A(x) = (2x - 3)(5x - 4)
A(x) = 2x × 5x + 2x × (-4) - 3 × 5x - 3 × (-4)
A(x) = 10x² - 8x - 15x + 12
A(x) = 10x² - 23x + 12
B(x) = 2x(5x - 3) - 7
B(x) = 2x × 5x + 2x × (- 3) - 7
B(x) = 10x² - 6x - 7
D(x) = (x + 5)²
D(x) = (x + 5)(x + 5)
D(x) = x × x + x × 5 + 5 × x + 5 × 5
D(x) = x² + 5x + 5x + 25
D(x) = x² + 10x + 25
F(x) = (4x - 1)²
F(x) = (4x - 1) (4x - 1)
F(x) = 4x × 4x + 4x × (- 1) - 1 × 4x - 1 × (- 1)
F(x) = 16x² - 4x - 4x + 1
F(x) = 16x²- 8x + 1
E(x) = (6 + 7x)(6 - 7x)
E(x) = 6 × 6 + 6 × (-7x) + 7x × 6 - 7x × (-7x)
E(x) = 36 - 42x + 42x + 49x²
E(x) = 49x² + 36
