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Using Binomial Theorem Evaluate :(I) (96)3 - Mathematics

Using binomial theorem evaluate :

(i) (96)3

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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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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 18 Binomial Theorem
Exercise 18.1 | Q 5.1 | Page 12
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