Question

Simplificati si scrieti expresia
$\frac{ {x}^{3} + 2 {x}^{2} + x }{ {x}^{3} + {x}^{2} - x - 1}$
sub forma de fractie algebrica ireductibila pe multimea R\{-1;1}.​

Answer 1

Explicație pas cu pas:

x³+2x²+x=x(x²+2x+1)=x(x+1)²

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

x(x+1)²/(x-1)(x+1)²=x/(x-1)