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25.1: El Teorema Binomial
https://espanol.libretexts.org/Matematicas/Precalculo_y_Trigonometria/Prec%C3%A1lculo_(Tradler_y_Carley)/25%3A_El_Teorema_Binomial/25.01%3A_El_Teorema_Binomial
$\begin{aligned} (a+b)^3 &= (a+b)\cdot (a+b)\cdot (a+b)\\ &= (a^2+2ab+b^2)\cdot (a+b)\\ &= a^3+2a^2b+ab^2+a^2b+2ab^2+b^3\\ &= a^3+3a^2b+3ab^2+b^3\end{aligned} \nonumber$ \[\begin{aligned} (a+b)^4 &... $\begin{aligned} (a+b)^3 &= (a+b)\cdot (a+b)\cdot (a+b)\\ &= (a^2+2ab+b^2)\cdot (a+b)\\ &= a^3+2a^2b+ab^2+a^2b+2ab^2+b^3\\ &= a^3+3a^2b+3ab^2+b^3\end{aligned} \nonumber$ $\begin{aligned} (a+b)^4 &= (a+b)\cdot (a+b)\cdot (a+b)\cdot (a+b)\\ &= (a^3+3a^2b+3ab^2+b^3)\cdot (a+b)\\ &= a^4+3a^3b+3a^2b^2+ab^3+a^3b+3a^2b^2+3ab^3+b^4\\ &= a^4+4a^3b+6a^2b^2+4ab^3+b^4\end{aligned} \nonumber$

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