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EXERCICE 2:4 POINTS.
Factoriser:
E(x) = ( 2x - 3)( 4 +x)-(3x – 2 )( 2x-3) F(x) = 3( 2x - 1)( 4 + x) + 6( x + 4)(2x + 1)
G(x) = ( 5x – 11 )? - 256
H(x) = ( 5 – 3x)2 – ( 7x - 1)?

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Réponse :

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Factoriser:

E(x) = ( 2x - 3)( 4 +x)-(3x – 2 )( 2x-3)

E = (2x - 3)(4 + x - 3x + 2)

E = (2x - 3)(-2x + 6)

E = (2x - 3) * 2(-x + 3)

E = 2(2x - 3)(-x + 3)

F(x) = 3( 2x - 1)( 4 + x) + 6( x + 4)(2x + 1)

F = (x + 4)[3(2x - 1) + 6(2x + 1)]

F = (x + 4)(6x - 3 + 12x + 6)

F = (x + 4)(18x + 3)

F = (x + 4) * 3(6x + 1)

F = 3(x + 4)(6x + 1)

G(x) = ( 5x – 11 )? - 256

G = (5x - 11)^2 - 16^2

G = (5x - 11 - 16)(5x - 11 + 16)

G = (5x - 27)(5x + 5)

G = (5x - 27) * 5(x + 1)

G = 5(5x - 27)(x + 1)

H(x) = ( 5 – 3x)2 – ( 7x - 1)?

H = (5 - 3x - 7x + 1)(5 - 3x + 7x - 1)

H = (-10x + 6)(4x + 4)

H = 2(-5x + 3) * 4(x + 1)

H = 8(-5x + 3)(x + 1)

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