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Binomi de Newton

begin mathsize 12px style bold left parenthesis bold a bold space bold plus bold space bold b bold right parenthesis to the power of bold n bold space bold equals bold space open parentheses table row bold n row bold 0 end table close parentheses bold a to the power of bold n bold space bold plus bold space open parentheses table row bold n row bold 1 end table close parentheses bold a to the power of bold n bold minus bold 1 end exponent bold b bold space bold plus open parentheses table row bold n row bold 2 end table close parentheses bold space bold a to the power of bold n bold minus bold 2 end exponent bold b to the power of bold 2 bold space bold plus bold space bold. bold. bold. bold space bold plus open parentheses table row bold n row cell bold n bold minus bold 2 end cell end table close parentheses bold space bold a to the power of bold 2 bold b to the power of bold n bold minus bold 2 end exponent bold plus open parentheses table row bold n row cell bold n bold minus bold 1 end cell end table close parentheses bold a bold b to the power of bold n bold minus bold 1 end exponent bold plus open parentheses table row bold n row bold n end table close parentheses bold b to the power of bold n bold on bold space open parentheses table row bold n row bold k end table close parentheses bold equals fraction numerator bold n bold factorial over denominator bold k bold factorial bold left parenthesis bold n bold minus bold k bold factorial bold right parenthesis end fraction end style
 



 
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