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<Text-field style="Heading 1" layout="Normal">binomial theorem,</Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">n.</Font> <Font bold="true">1.</Font><Font encoding="UTF-8"> o teorema que d\303\241 a forma da expans\303\243o de qualquer pot\303\252ncia inteira de um </Font><Hyperlink linktarget="Dictionary:Definition/binomial" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">bin\303\264mio</Font></Hyperlink>, (<Font italic="true">x</Font> + <Font italic="true">a</Font>)<Font superscript="true" italic="true">n</Font>, como um <Hyperlink linktarget="Dictionary:Definition/polynomial" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">polin\303\264mio</Font></Hyperlink> com <Font italic="true">n</Font> + 1 termos, da forma </Text-field>
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<Text-field style="Text" layout="Normal">ou de uma forma mais geral, para qualquer <Font family="MaplePi">a</Font> real e complexo <Font italic="true">z</Font><Font encoding="UTF-8"> com m\303\263dulo estritamente menor que 1, </Font></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal">onde</Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="Text" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">s\303\243o os </Font><Hyperlink linktarget="Dictionary:Definition/binomialcoefficient" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">coeficientes binomiais</Font></Hyperlink> apropriados. <Font bold="true">2.</Font> veja o teorema <Hyperlink linktarget="Dictionary:Definition/q-binomial" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">q-binomial</Font></Hyperlink>.</Text-field>
</Worksheet>