Question

Simplificati si scrieti expresia x3+2x2+x pe x3+x2-x-1 sub forma de fractie ireductibila pe multimea R\{-1;1}.

Answer 1

x³+2x²+x=x(x²+2x+1) =x(x+1)²

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


simplificand cu (x+1)², expresia devine
x/(x-1)