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simplificati fractia [tex] \frac{x^{4}+2 x^{2}-3 }{ x^{3}-2 x^{2}-x+2}[/tex]

Răspuns :

[tex] \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} [/tex]