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Question
Using binomial theorem evaluate :
(i) (96)3
Solution
(i) (96)3
\[= (100 - 4 )^3 \]
\[ = ^{3}{}{C}_0 \times {100}^3 \times 4^0 - ^{3}{}{C}_1 \times {100}^2 \times 4^1 +^{3}{}{C}_2 \times {100}^1 \times 4^2 - ^{3}{}{C}_3 \times {100}^0 \times 4^3 \]
\[ = 1000000 - 120000 + 4800 - 64\]
\[ = 884736\]
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