Question

Calculati :
(x³-x²+x-1):(x²-1)

Answer 1

x³-x²=(x-1)•x²
x³-x²+x-1=(x-1)•x²+x-1=
=(x-1)(x²+1)=
(x-1)(x²-1)+2(x-1)

(x-1)(x²-1):(x²-1)+2(x-1):(x²-1)=x-1+2(x-1):(x²-1)=
(x-1)(1+2:(x²-1))


Era mai simplu daca ar fi fost in paranteza [x³-x²-(x-1)] deoarece rezultatul era x-1....