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Descompuneti in produs de factori:
(x+2)(x+3)-x-2


Răspuns :

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