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Bonsoir pourriez vous m'aidez svp Exercice 5 : Développer et réduire les expressions algébriques suivantes :
E = (x + 1)2
F=(2 y + 3)2
G = (x - 1)2
H = (4x - 1)
1= (2-3x)?
K = (n + 6)(n- 6)
L = (5 n + 7)(5n-7)
M = (2x-3)(x-4) + (-3x+4)2
N = (2x-3)2 + (-3x+4)2
O = 4(x+2) - (2x-1)(2x+1)
P=(x+2)(2x-7)(1-3x)
Q = (8-5x)+(5-2x)
R = (3x-1)2 - 2(x+1)(x+3)

Sagot :

Bonsoir

Développer et réduire les expressions suivantes :

E = (x + 1)²

E = x² + 2x + 1

F=(2 y + 3)²

F = 4y² + 12y + 9

G = (x - 1)²

G = x² - 2x + 1

H = (4x - 1) ²

H = 16x² - 8x + 1

1= (2-3x)²

I = 4 - 12x + 9x²

K = (n + 6)(n- 6)

K = n² - 36

L = (5 n + 7)(5n-7)

L = 25n² - 49

M = (2x-3)(x-4) + (-3x+4)²

M = 2x² - 8x - 3x + 12 + 9x² - 24x + 16

M = 2x² + 9x² - 8x - 3x - 24x + 12 + 16

M = 11x² - 35x + 28

N = (2x-3)² + (-3x+4)²

N = 4x² - 12x + 9 + 9x² - 24x + 16

N = 4x² + 9x² - 12x - 24x + 9 + 16

N = 13x² - 36x + 25

O = 4(x+2) - (2x-1)(2x+1)

O = 8x + 8 - (4x² - 1)

O = 8x + 8 - 4x² + 1

O = - 4x² + 8x + 9

P=(x+2)(2x-7)(1-3x)

P = (2x² - 7x + 4x - 14) (1 - 3x)

P = 2x² - 4x + 4x - 14 - 6x³ + 21x² - 12x² + 42x

P = - 6x³ + 2x² + 21x² - 12x² + 42x - 14

P = - 6x³ + 11x² + 42x - 14

Q = (8-5x)+(5-2x)

Q = 8 - 5x + 5 - 2x

Q = - 5x - 2x + 8 + 5

Q = - 7x + 13

R = (3x-1)² - 2(x+1)(x+3)

R = 9x² - 6x + 1 - 2 (x² + 3x + x + 3)

R = 9x² - 6x + 1 - 2x² - 6x - 2x - 6

R = 9x² - 2x² - 6x - 6x - 2x + 1 - 6

R = 7x² - 14x - 5.

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