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author | HombreLaser <sebastian-440@live.com> | 2024-01-11 12:17:36 -0600 |
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committer | HombreLaser <sebastian-440@live.com> | 2024-01-11 12:17:36 -0600 |
commit | 2c1b1a48d3b4c0fb7a9f2bcea668eb4e5079c2d2 (patch) | |
tree | db1d48843dcb631d071e1917e9e2c14f7420e18b /main.tex | |
parent | ff25752592521533ae60b82cd7c31975783fdbf6 (diff) |
Añade más problemas y linebreaks
Diffstat (limited to 'main.tex')
-rw-r--r-- | main.tex | 128 |
1 files changed, 53 insertions, 75 deletions
@@ -2,86 +2,64 @@ \usepackage{graphicx} % Required for inserting images \title{Laboratorio} -\author{Alexx} +\author{ + Alejandro Beltrán Alvarado + \and + Andrea Montserrat + \and + Juan Carlos Diaz Gonzalez + \and + Luis Sebastián Martínez Vega +} \date{January 2024} \begin{document} \maketitle -\textbf{Encuentre el término de orden $r=4$ $(x+4)^4$} +\begin{itemize} +\item \textbf{Encuentre el término de orden $r=4$ $(x+4)^4$} + \\ + \\ + \\ + \\ + \\ + +\item \textbf{Desarrolle $n=4 (3x+5)^4$} + \\ + \\ + \\ + \\ + \\ + +\item \textbf{Desarrolle $ (y+5x)^4$} + \\ + \\ + \\ + \\ + \\ + +\item \textbf{Desarrolle $(2x+3y)^5$} + \\ + \\ + \\ + \\ + \\ + +\item \textbf{Del binomio $(64a^2+8b)^8$, obtener el sexto termino.} + \\ + \\ + \\ + \\ + \\ + +\item \textbf{Del binomio $(32x^3+x^2y)^{10}$), obtener el término que contenga $x^8y^4$} + \\ + \\ + \\ + \\ + \\ + +\end{itemize} -\[ -\frac{n(n-1)\ldots(n-r+2)}{(r-1)!}a^{n-r+1}b^{r-1} -\] - -\[ -= \frac{4(4-1)(4-2)}{(4-1)!}x^{4-4+1}(4^{4-1}) -\] - -\[ -= \frac{4(3)(2)}{(3)!}x^{4-4+1}(4^{4-1}) -\] - -\[ -= \frac{24}{(3)!}x^{4-4+1}(4^{4-1}) -\] - -\[ -= \frac{24}{6}x^{4-4+1}(4^{4-1}) -\] - -\[ -= 4x^{4-4+1}(4^{4-1}) = (4x^{1})(4^{3}) = 256x -\] - -\textbf{Desarrolle $(3x+5)^4$} - -\[ -(3x+5)^4 -\] - -\[ -= 81x^4+4(3x)^{4-1}(5)+\frac{4(4-1)}{2!}(3x)^{4-2}(5^2)+\frac{4(4-1)(4-2)}{3!}(3x)^{4-3}(5^3)+5^4 -\] - -\[ -= 81x^4+4(27x)^{3}(5)+\frac{4(4-1)}{2!}(3x)^{4-2}(5^2)+\frac{4(4-1)(4-2)}{3!}(3x)^{4-3}(5^3)+5^4 -\] - -\[ -= 81x^4+540x^3+\frac{4(3)}{2}(3x)^{4-2}(5^2)+\frac{4(4-1)(4-2)}{3!}(3x)^{4-3}(5^3)+5^4 -\] - -\[ -= 81x^4+540x^3+(6)(9x^2)(5^2)+\frac{4(4-1)(4-2)}{3!}(3x)^{4-3}(5^3)+5^4 -\] - -\[ -= 81x^4+540x^3+1,350x^2+\frac{4(3)(2)}{6}(3x)^{4-3}(5^3)+5^4 -\] - -\[ -= 81x^4+540x^3+1,350x^2+(4)(3x)^{4-3}(9)+5^4 -\] - -\[ -= 81x^4+540x^3+1,350x^2+(12x)(5^3)+5^4 -\] - -\[ -= 81x^4+540x^3+1,350x^2+(12x)(125)+5^4 -\] - -\[ -= 81x^4+540x^3+1,350x^2+1500x+5^4 -\] - -\[ -= 81x^4+540x^3+1,350x^2+1500x+625 -\] - -\textbf{Desarrolle $(y+5x)^4$} - -\textbf{Desarrolle $(2x+3y)^5$} \end{document} |