Sagot :
Bonjour
F(x) = (2x + 1) +4 [2x – 1 + 2(2x - 3) + 3(2x - 5) +4(2x – 7)]
G(x)= (2x+1)(2x²+2x+3)/3
1) Développer et réduire F(x).
F(x) = (2x + 1) +4 [2x – 1 + 2(2x - 3) + 3(2x - 5) +4(2x – 7)]
F (x) = 2x + 1 + 8x - 4 + 4x - 6 + 6x - 15 + 8x - 28
F (x) = 2x + 8x + 4x + 6x + 8x + 1 - 4 - 6 - 15 - 28
F (x) = 28x - 52
2) Montrer que G(x) = 4x + 6x²+ 8x + 3/3
G(x)= (2x+1)(2x²+2x+3)/3
G (x) = (4x³ + 4x² + 6x + 2x² + 2x + 3) / 3
G (x) = (4x³ + 6x² + 8x + 3) / 3