Buscar Volver arriba Filtrar resultadosUbicaciónMatemáticas (1)ClasificaciónTipo de artículoCategoríaGuíaTemaN/AN/AAuthorRebecca Laff & Wendy RuizParis, Ricardo, Raymond, & JohnsonJennifer Paris, Kristin Beeve, & Clint SpringerKrischa Esquivel, Emily Elam, Jennifer Paris, & Maricela TafoyaIrma Isabel González CuadrosJoaquín López HerraizMaría M. Reynoso, Carina E. Magnoli, Germán G. Barros y Mirta S. DemoGlencora BorradaileShow TOCyesnoCover PageyesTOC OnlyCompile but don't publishLicensePublic DomainCC BYCC BY-SACC BY-NC-SACC BY-NDCC BY-NC-NDGNU GPLAll Rights ReservedCC BY-NCGNU FDLTranscludedAutonumber Section Headingstitle with space delimiterstitle with colon delimiterstitle with dash delimitersLicense Version1.01.32.02.53.04.0Incluir datos adjuntosTipo de contenidoDocumentoImagenOtro Buscando enTodos los resultadosAcerca de 1 resultados1.4: Coeficientes binomialeshttps://espanol.libretexts.org/Matematicas/Combinatoria_y_Matematicas_Discretas/Combinatoria_y_Teor%C3%ADa_Gr%C3%A1fica_(Guichard)/01%3A_Fundamentos/1.04%3A_Coeficientes_binomiales\[\eqalign{ \sum_{i=0}^{n-1}{n-1\choose i}&x^{n-i}y^i+ \sum_{i=0}^{n-1} {n-1\choose i}x^{n-1-i}y^{i+1}\cr &=\sum_{i=0}^{n-1}{n-1\choose i}x^{n-i}y^i+ \sum_{i=1}^{n} {n-1\choose i-1}x^{n-i}y^{i}\cr &={...\[\eqalign{ \sum_{i=0}^{n-1}{n-1\choose i}&x^{n-i}y^i+ \sum_{i=0}^{n-1} {n-1\choose i}x^{n-1-i}y^{i+1}\cr &=\sum_{i=0}^{n-1}{n-1\choose i}x^{n-i}y^i+ \sum_{i=1}^{n} {n-1\choose i-1}x^{n-i}y^{i}\cr &={n-1\choose 0}x^n+\sum_{i=1}^{n-1}{n-1\choose i}x^{n-i}y^i+ \sum_{i=1}^{n-1} {n-1\choose i-1}x^{n-i}y^{i}+{n-1\choose n-1}y^{n}\cr &={n-1\choose 0}x^n+ \sum_{i=1}^{n-1}({n-1\choose i}+{n-1\choose i-1})x^{n-i}y^{i}+ {n-1\choose n-1}y^{n}.\cr }\nonumber \]MásMostrar más resultados
