Calcul de maths (seconde)

EXERCICES CALCUL LITTERAL

Exercice 1 : Développer

A = ( x – 3 )( x + 3 ) – ( x + 4 )( x – 4 ) B = (y2 + 1 )2

C = (3x – 5 )2 D = 3(4x + 1 )2 – 4(3x + 1 )2

Exercice 2:Factoriser

A = 9x2 –24x + 16 B = -16 + x2

C = ( 3x + 1 )2 – 4x2 D = 5x( x + 1 ) – ( x + 1)2

E = ( x – 4 )( 2x + 1 ) + (x2 – 16 ) F = ( 2x – 1 )( 3x + 4 ) + ( x + 7)( 1 – 2x )

Exercice 3: Résoudre, à l’aide des expressions de l’exercice précédent, les équations suivantes :

A = 16 B = -32 + 8x D = 0 F = 0

1

Développer :

A = 3(x-2)(4/3 x-1)

B = (3x + 1)(x – 2)(x + 3)

C = (3x + 1 )(5x – 8 ) – (2x – 4 )(2x – 2 ) 2

Factoriser :

P = (3x + 4)(6x – 5) + (3x + 4)(6x – 5)

Q = 16x² + 56x + 49 – (2x – 3)(4x + 7)

R = (2x – 5)(3x – 2) – (2 – 3x)(x – 4)

3

Développer :

A = 3(x-2)(4/3 x-1)

B = (3x + 1)(x – 2)(x + 3)

C = (3x + 1 )(5x – 8 ) – (2x – 4 )(2x – 2 ) 4

Factoriser :

P = (3x + 4)(6x – 5) + (3x + 4)(6x – 5)

Q = 16x² + 56x + 49 – (2x – 3)(4x + 7)

R = (2x – 5)(3x – 2) – (2 – 3x)(x – 4)

5

Développer :

A = 5(x-2)(4/5 x-1)

B = (3x + 1)(x – 2)(x + 3)

C = (2x + 2 )(9x + 5 ) – (x + 6 )(3x – 6 ) 6

Factoriser :

P = (x + 6)(8x + 9) + (x – 2)(8x + 9)

Q = 25x² – 60x + 36 – (5x – 6)(2x + 9)

R = (2x – 5)(3x – 2) – (2 – 3x)(x – 4)

7

Développer :

A = 5(x-2)(4/5 x-1)

B = (3x + 1)(x – 2)(x + 3)

C = (2x + 2 )(9x + 5 ) – (x + 6 )(3x – 6 ) 8

Factoriser :

P = (x + 6)(8x + 9) + (x – 2)(8x + 9)

Q = 25x² – 60x + 36 – (5x – 6)(2x + 9)

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