Question

Ajutor va rog.Simplificati fractia.
Xlaputerea3+xlaputerea2-x-1
supra la xlaputerea2+2x+1
X3+X2-X-1
X2+2X+1

Answer 1

$\frac{ x^{3}+ x^{2} -x -1}{ x^{2} +2x+1}= \frac{ x^{2}(x+1)-(x+1)}{ (x+1)^{2} } =$[tex] \frac{(x+1)( x^{2} -1)}{ (x+1)^{2} } = \frac{(x+1)(x+1)(x-1)}{ (x+1)^{2} } [/tex] simplificam cu $( x+1)^{2}$ si obtinem fractia =x-1