Cc pouvez vous m'aider svp: Développer et réduire: [tex] a = 5x - (4x - 7) + 3[/tex] [tex]b = 2 - 5x(3x - 7) + 6x[/tex] [tex]c = (9x - 2)( {5x}^{2} - 4)[/tex] F

Réponse :

Bonjour,

Développer et réduire:

A = 5x – (4x – 7) + 3

= 5x – 4x + 7 + 3

= x + 10

B = 2 – 5x(3x – 7) + 6x

= 2 – 15x² + 35x + 6x

= –15x² + 41x + 2

C = (9x – 2)(5x² – 4)

= 45x³ – 36x – 10x² + 8

= 45x³ – 10x² – 36x + 8

Factoriser:

D = 32x + 24xy

= 8x × 4 + 8x × 3y

= 8x(4 + 3y)

E = (2x – 5)² – (2x – 5)(3x – 7)

= (2x – 5)(2x – 5) – (2x – 5)(3x – 7)

= (2x – 5)[(2x – 5) – (3x – 7)]

= (2x – 5)(2x – 5 – 3x + 7)

= (2x – 5)(–x + 2)