(96)3

Given \[\left( 96 \right)3\]
\[96\]  can be communicated as the aggregate or contrast of two numbers and afterward binomial hypothesis can be applied.
The given inquiry can be composed as \[96\text{ }=\text{ }100\text{ }\text{ }4\]
\[\left( 96 \right)3\text{ }=\text{ }\left( 100\text{ }\text{ }4 \right)3\]

\[=\text{ }3C0\text{ }\left( 100 \right)3\text{ }\text{ }3C1\text{ }\left( 100 \right)2\text{ }\left( 4 \right)\text{ }\text{ }3C2\text{ }\left( 100 \right)\text{ }\left( 4 \right)23C3\text{ }\left( 4 \right)3\]

\[=\text{ }\left( 100 \right)3\text{ }\text{ }3\text{ }\left( 100 \right)2\text{ }\left( 4 \right)\text{ }+\text{ }3\text{ }\left( 100 \right)\text{ }\left( 4 \right)2\text{ }\text{ }\left( 4 \right)3\]
\[=\text{ }1000000\text{ }\text{ }120000\text{ }+\text{ }4800\text{ }\text{ }64\]

\[=\text{ }884736\]