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2.2: Factoraje avanzado
https://espanol.libretexts.org/Educacion_Basica/Precalculo/02%3A_Polinomios_y_funciones_racionales/2.02%3A_Factoraje_avanzado
$\begin{aligned} a^{3}-b^{3} &=(a-b)\left(a^{2}+a b+b^{2}\right) \\ &=a^{3}+a^{2} b+a b^{2}-a^{2} b-a b^{2}-b^{3} \\ &=a^{3}-b^{3} \end{aligned}$ \(\begin{aligned} a^{3}+b^{3} &=(a+b)\left(a^{2}-a b... $\begin{aligned} a^{3}-b^{3} &=(a-b)\left(a^{2}+a b+b^{2}\right) \\ &=a^{3}+a^{2} b+a b^{2}-a^{2} b-a b^{2}-b^{3} \\ &=a^{3}-b^{3} \end{aligned}$ $\begin{aligned} a^{3}+b^{3} &=(a+b)\left(a^{2}-a b+b^{2}\right) \\ &=a^{3}-a^{2} b+a b^{2}+b a^{2}-a b^{2}+b^{3} \\ &=a^{3}+b^{3} \end{aligned}$ $(a+b)\left(a^{8}-a^{7} b+a^{6} b^{2}-a^{5} b^{3}+a^{4} b^{4}-a^{3} b^{5}+a^{2} b^{6}-a b^{7}+b^{8}\right)$

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