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DEVOIR MAISON
Exercice 1
1) Supprimer les parenthèses puis réduire les expressions suivantes:
A= 5-(2 y-4) B= (-2a+1)+(a-1) C= (-2a+1)-(a-1)
D= -(-2a+1)-(a-1)
2) Développer puis réduire
E=4(x+1)
F= 5(2-3)
G = y(5 +2y)
H=2p(6 - 3p)

Sagot :

1)

A= 5-(2 y-4)

A= 5-(2 y-4) = 5-2y+4

A= 5-(2 y-4) = 5-2y+4 = 5+4-2y

A= 5-(2 y-4) = 5-2y+4 = 5+4-2y = 9-2y

A= 5-(2 y-4) = 5-2y+4 = 5+4-2y = 9-2yB= (-2a+1)+(a-1)

A= 5-(2 y-4) = 5-2y+4 = 5+4-2y = 9-2yB= (-2a+1)+(a-1) = -2a+1+a-1

A= 5-(2 y-4) = 5-2y+4 = 5+4-2y = 9-2yB= (-2a+1)+(a-1) = -2a+1+a-1 = -2a+a+1-1

A= 5-(2 y-4) = 5-2y+4 = 5+4-2y = 9-2yB= (-2a+1)+(a-1) = -2a+1+a-1 = -2a+a+1-1 = a

A= 5-(2 y-4) = 5-2y+4 = 5+4-2y = 9-2yB= (-2a+1)+(a-1) = -2a+1+a-1 = -2a+a+1-1 = aC= (-2a+1)-(a-1)

A= 5-(2 y-4) = 5-2y+4 = 5+4-2y = 9-2yB= (-2a+1)+(a-1) = -2a+1+a-1 = -2a+a+1-1 = aC= (-2a+1)-(a-1) = -2a+1-a+1

A= 5-(2 y-4) = 5-2y+4 = 5+4-2y = 9-2yB= (-2a+1)+(a-1) = -2a+1+a-1 = -2a+a+1-1 = aC= (-2a+1)-(a-1) = -2a+1-a+1 = -2a-a+1+1

A= 5-(2 y-4) = 5-2y+4 = 5+4-2y = 9-2yB= (-2a+1)+(a-1) = -2a+1+a-1 = -2a+a+1-1 = aC= (-2a+1)-(a-1) = -2a+1-a+1 = -2a-a+1+1 = -3a+2

A= 5-(2 y-4) = 5-2y+4 = 5+4-2y = 9-2yB= (-2a+1)+(a-1) = -2a+1+a-1 = -2a+a+1-1 = aC= (-2a+1)-(a-1) = -2a+1-a+1 = -2a-a+1+1 = -3a+2D= -(-2a+1)-(a-1)

A= 5-(2 y-4) = 5-2y+4 = 5+4-2y = 9-2yB= (-2a+1)+(a-1) = -2a+1+a-1 = -2a+a+1-1 = aC= (-2a+1)-(a-1) = -2a+1-a+1 = -2a-a+1+1 = -3a+2D= -(-2a+1)-(a-1) = 2a-1-a+1

A= 5-(2 y-4) = 5-2y+4 = 5+4-2y = 9-2yB= (-2a+1)+(a-1) = -2a+1+a-1 = -2a+a+1-1 = aC= (-2a+1)-(a-1) = -2a+1-a+1 = -2a-a+1+1 = -3a+2D= -(-2a+1)-(a-1) = 2a-1-a+1 = 2a-a-1+1

A= 5-(2 y-4) = 5-2y+4 = 5+4-2y = 9-2yB= (-2a+1)+(a-1) = -2a+1+a-1 = -2a+a+1-1 = aC= (-2a+1)-(a-1) = -2a+1-a+1 = -2a-a+1+1 = -3a+2D= -(-2a+1)-(a-1) = 2a-1-a+1 = 2a-a-1+1 = a

2)

2)E= 4(x+1)

2)E= 4(x+1) = 4x+4

2)E= 4(x+1) = 4x+4F= 5(2-3)

2)E= 4(x+1) = 4x+4F= 5(2-3) = 10-15

2)E= 4(x+1) = 4x+4F= 5(2-3) = 10-15 = -5

2)E= 4(x+1) = 4x+4F= 5(2-3) = 10-15 = -5G = y(5+2y)

2)E= 4(x+1) = 4x+4F= 5(2-3) = 10-15 = -5G = y(5+2y) [tex] = 5y + {2y}^{2} [/tex]

2)E= 4(x+1) = 4x+4F= 5(2-3) = 10-15 = -5G = y(5+2y) [tex] = 5y + {2y}^{2} [/tex] H= 2p(6-3p)

[tex] = 12p - {5p}^{2} [/tex]

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