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\frac{x^{2}-2x-1}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}-x
x^{2}+2x-1 faktorea.
\frac{x^{2}-2x-1}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}-\frac{x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
Adierazpenak gehitzeko edo kentzeko, zabal itzazu izendatzaileak berdintzeko. Egin x bider \frac{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}.
\frac{x^{2}-2x-1-x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
\frac{x^{2}-2x-1}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)} eta \frac{x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)} balioek izendatzaile bera dutenez, zenbakitzaileak kendu behar dituzu zatikien kendura kalkulatzeko.
\frac{x^{2}-2x-1-x^{3}-x^{2}\sqrt{2}-x^{2}-x^{2}+x^{2}\sqrt{2}+x}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
Egin biderketak x^{2}-2x-1-x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right) zatikian.
\frac{-x^{2}-x-1-x^{3}}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
Konbinatu hemengo antzeko gaiak: x^{2}-2x-1-x^{3}-x^{2}\sqrt{2}-x^{2}-x^{2}+x^{2}\sqrt{2}+x.
\frac{-x^{2}-x-1-x^{3}}{x^{2}+2x-\left(\sqrt{2}\right)^{2}+1}
Garatu \left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right).
\frac{-x^{2}-x-1-x^{3}}{x^{2}+2x-2+1}
\sqrt{2} zenbakiaren karratua 2 da.
\frac{-x^{2}-x-1-x^{3}}{x^{2}+2x-1}
-1 lortzeko, gehitu -2 eta 1.
\frac{x^{2}-2x-1}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}-x
x^{2}+2x-1 faktorea.
\frac{x^{2}-2x-1}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}-\frac{x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
Adierazpenak gehitzeko edo kentzeko, zabal itzazu izendatzaileak berdintzeko. Egin x bider \frac{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}.
\frac{x^{2}-2x-1-x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
\frac{x^{2}-2x-1}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)} eta \frac{x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)} balioek izendatzaile bera dutenez, zenbakitzaileak kendu behar dituzu zatikien kendura kalkulatzeko.
\frac{x^{2}-2x-1-x^{3}-x^{2}\sqrt{2}-x^{2}-x^{2}+x^{2}\sqrt{2}+x}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
Egin biderketak x^{2}-2x-1-x\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right) zatikian.
\frac{-x^{2}-x-1-x^{3}}{\left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right)}
Konbinatu hemengo antzeko gaiak: x^{2}-2x-1-x^{3}-x^{2}\sqrt{2}-x^{2}-x^{2}+x^{2}\sqrt{2}+x.
\frac{-x^{2}-x-1-x^{3}}{x^{2}+2x-\left(\sqrt{2}\right)^{2}+1}
Garatu \left(x-\left(\sqrt{2}-1\right)\right)\left(x-\left(-\sqrt{2}-1\right)\right).
\frac{-x^{2}-x-1-x^{3}}{x^{2}+2x-2+1}
\sqrt{2} zenbakiaren karratua 2 da.
\frac{-x^{2}-x-1-x^{3}}{x^{2}+2x-1}
-1 lortzeko, gehitu -2 eta 1.