Lukion taulukot/Newtonin binomikaava

Newtonin binomikaava

$\begin{array}{cc}(a+b{)}^n& =a^n+(\genfrac{}{}{0ex}{}{n}{1})a^{n-1}b+(\genfrac{}{}{0ex}{}{n}{2})a^{n-2}{b}^2+\dots +(\genfrac{}{}{0ex}{}{n}{k})a^{n-k}{b}^k+\dots +b^n\\ & =\sum _{k=0}^n(\genfrac{}{}{0ex}{}{n}{k})a^{n-k}{b}^k\end{array}$