Exercice 5 p 54 : Développer puis réduire les expressions suivantes :
A = 2 (x - 1) (x + 2) + ( x - 3) ( - x + 4 )
B = 3 ( (x - 1) + (x + 2) ( 2x - 3) )
C = 3x - 1 - 2 (x + 2) + (x - 3) (2x + 1)
A = 2 (x - 1) (x + 2) + ( x - 3) ( - x + 4 )
B = 3 ( (x - 1) + (x + 2) ( 2x - 3) )
C = 3x - 1 - 2 (x + 2) + (x - 3) (2x + 1)
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A= (2x - 2) (x+2) + (x-3) (- x +4)
A = 2x X x + 2x X 2 - 2x - 2 X 2 + (x X (-x) + 4x + 3x - 3 X 4)
A = 2x² + 4x - 2x - 4 + -x² + 4x + 3x - 12
A = x² + 9x - 16
B = 3 ( (x-1) + (x+2) (2x - 3) )
B = 3 (x -1 + x X 2x - 3x + 2 x 2x - 2x3)
B = 3 (x - 1 + 2x² - 3x + 4x - 6)
B = 3 (2x² + 2x -7)
B = 6x² + 6x - 21
C = 3x - 1 - ( 2 (x+2) ) + (x - 3) (2x + 1)
C = 3x - 1 - ( 2x + 4 ) + x X 2x + x - 3 x 2x - 3 x 1
C = 3x - 1 - 2x - 4 + 2x² + 1x - 6x -3
C = 2x² - 4 - 8