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Bonjour, pouvez vous m’aider pour ces questions:
1) Développer, réduire et ordonner les expressions suivantes.
a) (1+x) (1+2x)
b) (x²+2) (x-1)
c) 2x² (1-3x²)
2)
a) (x+3)(x+5)-4x
b) x(3-2x) + 5x² + 2x
c) (5-t)(1+2t) + 2(3t+4)
d) 2x²(x+6) - x³ + 4x² - 2x

Sagot :

SVANT

Réponse:

a) (1+x) (1+2x) =

1 + x + 2x + 2x² =

2x² + 3x + 1

b) (x²+2) (x-1) =

x³ - x² + 2x - 2 =

c) 2x² (1-3x²) =

2x² - 6x⁴ =

-6x⁴ + 2x²

2)

a) (x+3)(x+5)-4x =

x² + 5x + 3x + 15 - 4x =

x² + 4x + 15

b) x(3-2x) + 5x² + 2x =

3x - 2x² + 5x² + 2x =

3x² + 5x

c) (5-t)(1+2t) + 2(3t+4) =

5 + 10t - t - 2t² + 6t + 8 =

-2t² + 15t + 13

d) 2x²(x+6) - x³ + 4x² - 2x =

2x³ + 12x² - x³ + 4x² - 2x =

x³ + 16x² - 2x

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