Question

simplificati fractia $\frac{x^{4}+2 x^{2}-3 }{ x^{3}-2 x^{2}-x+2}$

Answer 1

$\frac{ x^{4}+2 x^{2} -3 }{ x^{3}-2 x^{2} -x+2 }= \frac{( x^{2} -1)( x^{2} +3)}{x( x^{2}-1)-2( x^{2}-1)}= \frac{( x^{2} -1)( x^{2} +3)}{( x^{2}-1)(x-2)}= \frac{ x^{2} +3}{x-2}$