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Dans les exercices 95 à 98, factoriser au maximum chacune
des expressions.


95 A=4(x - 3) + x (x - 3) B= x2 - 4x
C= 2x(x + 1) - 4(x + 1) D=5.x2 + x
96 A=(x + 2)(x - 1) + (3x + 5) (x + 2)
B=7 (5 – x) - (2x + 3) (5 - x)
97 A=(3x + 1) (x +4) - (2r - 5) (x + 4)
B=(7x - 3)2 - x (7x-3) C=2-X-(2-x)2
98 A=(2x + 4) (x-3) B=6x (x + 4) + 2(x - 2) (r + 4)
C=5(x + 1)2 – (3x - 2) (x + 1)

Sagot :

Réponse :

Explications étape par étape

Bonjour

Dans les exercices 95 à 98, factoriser au maximum chacune des expressions.

95

A=4(x - 3) + x (x - 3)

A = (x - 3)(4 + x)

B= x2 - 4x

B = x(x - 4)

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

C = 2(x + 1)(x - 2)

D=5.x2 + x

D = x(5x + 1)

96

A=(x + 2)(x - 1) + (3x + 5) (x + 2)

A = (x + 2)(x - 1 + 3x + 5)

A = (x + 2)(4x + 4)

A = (x + 2) * 4(x + 1)

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

B=7 (5 – x) - (2x + 3) (5 - x)

B = (5 - x)(7 - 2x - 3)

B = (5 - x)(-2x + 4)

B = (5 - x) * 2(-x + 2)

B = 2(5 - x)(-x + 2)

97

A=(3x + 1) (x +4) - (2x - 5) (x + 4)

A = (x + 4)(3x + 1 - 2x + 5)

A = (x + 4)(x + 6)

B=(7x - 3)2 - x (7x-3)

B = (7x - 3)(7x - 3 - x)

B = (7x - 3)(6x - 3)

B = (7x - 3) * 3(2x - 1)

B = 3(7x - 3)(2x - 1)

C=2-X-(2-x)2

C = (2 - x)(1 - 2 + x)

C = (2 - x)(x - 1)

98

A=(2x + 4) (x-3) ?????

B=6x (x + 4) + 2(x - 2) (x + 4)

B = (x + 4)(6x + 2(x - 2))

B = (x + 4)(6x + 2x - 4)

B = (x + 4)(8x - 4)

B = (x + 4) * 4(2x - 1)

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

C=5(x + 1)2 – (3x - 2) (x + 1)

C = (x + 1)(5(x + 1) - 3x + 2)

C = (x + 1)(5x + 5 - 3x + 2)

C = (x + 1)(2x + 7)

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