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Sagot :

MPOWER

Réponse :

Bonjour,

Résoudre les inéquations:

2x – 5 < 3

⇔ 2x < 3 + 5

⇔ 2x < 8

⇔ x < 4

Donc S = ] -∞ ; 4 [

5 – 3x < 21 + x

⇔ –3x – x < 21 – 5

⇔ –4x < 16

⇔ x > –4

Donc S = ] –4 ; +∞ [

Développer:

A = 2x – 5x(x + 4)

= 2x – 5x² – 20x

= –5x² – 18x

B = (3x – 7)(5x + 2)

= 15x² + 6x – 35x – 14

= 15x² – 29x – 14

Factoriser:

8y – 4y²

= 2 × 4 × y – 4 × y × y

= 4y(2 – y)

a² – b² ⇔ (a – b)(a + b)

   ↓

49 – x²

= 7² – x²

= (7 – x)(7 + x)

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