Differences

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--- the_binomial_theorem [2020/11/04 16:10] – [계수] hkimscil
+++ the_binomial_theorem [2020/11/18 00:20] (current) – hkimscil
@@ Line 82: / Line 82: @@
 &{3 \choose 0}\; {3 \choose 1}\; {3 \choose 2}\; {3 \choose 3}& \\
 &{4 \choose 0}\; {4 \choose 1}\; {4 \choose 2}\; {4 \choose 3}\; {4 \choose 4}& \\
+&{5 \choose 0}\; {5 \choose 1}\; {5 \choose 2}\; {5 \choose 3}\; {5 \choose 4}\; {5 \choose 5} & \\
 \end{eqnarray*}
 \begin{eqnarray*}
-& {\large 1} &   \\
+& {\large 1} &  \\
-& {\large 1\quad  1} & \\
+& {\large 1\quad 1} & \\
-& {\large 1\quad  2\quad 1} & \\
+& {\large 1\quad 2\quad 1} & \\
 & {\large 1\quad 3\quad 3\quad 1} & \\
 & {\large 1\quad 4\quad 6\quad 4\quad 1} & \\
+& {\large 1\quad 5\quad 10\quad 10\quad 5\quad 1} & \\
 \end{eqnarray*}
+따라서
+\begin{eqnarray*}
+& a^5 + a^4 + a^3 + a^2 + a^1 + a^0 & \\
+& b^0 + b^1 + b^2 + b^3 + b^4 + b^5 & \\
+& 1   + 5   + 10  + 10  + 5   + 1 & \\
+& a^5 + 5a^4b + 10a^3b^2 + 10a^2b^3 + 5ab^4 + b^5 & \\
+\end{eqnarray*}
 위를 종합해서 정리하면
@@ Line 98: / Line 110: @@
 \end{eqnarray*}
+예를 들면, 아래와 같다. ($n = 3$ 인경우)
 \begin{eqnarray*}
 (a + b)^{3} & = & \sum^{3}_{k=0}{{3}\choose{k}} a^{3-k} b^{k} \\