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Aratati ca (x+2) (x^2+4x+4)-x-2= (x+1) (x+2) (x+3)

Răspuns :

(x+2)(x^2+4x+4)-x-2=(x+2)(x^2+4x+4)-(x+2)=(x+2)(x^2+4x+4-1)=(x+2)(x^2+4x+3)=(x+2)(x+1)(x+3)=(x+1)(x+2)(x+3).