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Sagot :

Réponse :

Bonsoir;

Explications étape par étape

a)  (x+1)(x+2) + ( x+3) ( x-1)

x² +x+2x+2 + x² +3x -x -3   =  2x² +5x -1  

b) (a +3)(a+1) + (a-1)(2a +1)  = a² +3a +a +3 +2a² -2a +a -1 =  3a² + 3a +2

c)  (x +2) ( x-3) - ( x+1)(x+2)  =    x² +2x -3x -6 -( x² +x +2x +2) =

x² -x -6 -x² -3x -2 = -4x -8  =  -4( x +2)

d)  (a-1)( 2a +2) -  ( a-2) ( 2a -4) = 2(a-1) (a+1) -2(a-1)( a-2)    

    =  2(a-1) ((a+1) -(a-2) =  2(a -1) ( a+1-a +2)

  =    2(a+1) ( 3)   = 6( a+1)

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