Mathématiques

Question

factoriser : (x + 2)(x + 1) + (x + 2)(7x - 5)
(x + 3) (3 - 2x) - (x + 3)(5 +x)
(x - 6)(2 - x) - (2 - x)(3 - 4x)
merci​

2 Réponse

    • (x + 2)(x + 1) + (x + 2)(7x - 5)

    (x+2)(x+1+7x-5)

    (x+2)(8x-4)

    • (x + 3) (3 - 2x) - (x + 3)(5 +x)

    (x+3)(3-2x-5-x)

    (x+3)(-2-3x)

    • (x - 6)(2 - x) - (2 - x)(3 - 4x)

    (2-x)(x-6-3+4x)

    (2-x)(5x-9)

    DE RIEN

  • Réponse :

    bonjour,

    (x + 2)(x + 1) + (x + 2)(7x - 5)

    = ( x+2 ) ( x+ 1 + 7x - 5 )

    = ( x+ 2 ) ( 8x - 4 )

    (x + 3) (3 - 2x) - (x + 3)(5 +x)

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

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

    = ( x + 3 ) (  - 3x - 2 )

    (x - 6)(2 - x) - (2 - x)(3 - 4x)

    =( 2 - x ) ( x - 6 -(3 - 4x ) )

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

    = ( 2 - x) ( 5x -9 )

    voila :)

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