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(x-1)(x+1)(x^2+1)(x^4+1)

Răspuns :

Formula de calcul prescurtat: (a+b)(a-b)=a^2-b^2

  • (x-1)(x+1)(x^2+1)(x^4+1)

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

  • (x^2-1)(x^2+1)(x^4+1)=

[(x^2)^2-1^2](x^4+1)=

  • (x^4-1)(x^4+1)=(x^4)^2 - 1^2=x^8 - 1