Mathématiques

Question

Bonjour j ai un problème
Réduire à leur plus simple expression
A = (2x + 4 ) + ( x +3 )
B = (4x - 4 ) + ( x - 11 )
c = (3a +9 ) - ( a + 2 )
d = (5a - 11 ) - ( a + 12 )
e = ( x + 3 ) + ( x + 7 ) + ( x + 12)
f = (3x +9 ) - ( x - 5 ) - ( x - 8 )
g = ( 4x - 5 ) - ( x - 2 ) - ( x + 4 )
h = ( 3x + 2y ) - ( x + y ) - ( x - y )

1 Réponse

  • Bonjour !

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

    = 2x + 4 + x + 3

    = (2+1)x + 4+3

    = 3x + 7

    B = (4x - 4 ) + ( x - 11 )

    = 4x - 4 + x - 11

    = (4+1)x -4-11

    = 5x - 15

    c = (3a +9 ) - ( a + 2 )

    = 3a + 9 - a - 2

    = (3-1)a + 9-2

    = 2a + 7

    d = (5a - 11 ) - ( a + 12 )

    = 5a - 11 - a - 12

    = (5-1)a -11-12

    = 4a - 23

    e = ( x + 3 ) + ( x + 7 ) + ( x + 12)

    = x + 3 + x + 7 + x + 12

    = (1+1+1)x + 3+7+12

    = 3x + 22

    f = (3x +9 ) - ( x - 5 ) - ( x - 8 )

    = 3x + 9 - x + 5 - x + 8       ( - fois - = +)

    = (3-1-1)x + 9+5+8

    = x + 22

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

    = 4x - 5 - x + 2 - x - 4

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

    = 2x - 7

    h = ( 3x + 2y ) - ( x + y ) - ( x - y )

    = 3x + 2y - x - y - x + y

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

    = x + 2y

    N'hésite pas si tu as des questions !

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