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{ {\left \LPAREN { a+b} \right\RPAREN}  ^{ n} = {\sum_{j=0 }^{ n}{  {\left \LPAREN {  {{ n}\atop{j }} } \right\RPAREN} a ^{ n-j} b ^{ j} }} = {\left \LPAREN {  {{n }\atop{ 0}} } \right\RPAREN} a ^{ n} + {\left \LPAREN {  {{n }\atop{1 }} } \right\RPAREN} a ^{ n-1} b+ \cdots + {\left \LPAREN { { n}\atop{r }} \right\RPAREN} a ^{ n-r} b ^{r } + \cdots + {\left \LPAREN { {n }\atop{n-1 }} \right\RPAREN} a b ^{ n-1} + {\left \LPAREN {  {{ n}\atop{n }} } \right\RPAREN} b ^{ n} }
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