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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).

2) Montrer que G(x) = 4x + 6x²+ 8x + 3/3

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

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