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Sagot :

VINS

bonjour

F(x)= (3x+1) (-2x-2)-3(9x²-1)

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

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

F (x) = ( 3 x + 1 ) ( - 2 x - 2 - 9 x + 3 )

F (x) = ( 3 x + 1 ) ( - 11 x + 1)

TRUDELMICHEL

Réponse :

bonjour

Explications étape par étape :

f(x)=(3x+1)(-2x-2)-3(9x²-1)

a)

9x²-1=9x²-1²

(3x)²-1²=(3x+1)(3x-1)

f(x)=(3x+1)(-2x-2)-3(3x+1)(3x-1)

f(x)= (3x+1)[(-2x-2)-3(3x-1)]

f(x)=(3x+1)  ( -2x-2-9x+3)

f(x)=(3x+1)(-11x+1)

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