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NCERT Class XI Mathematics - Binomial Theorem - Solutions

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Question : 6
Total: 36
(96)3
Solution:  
We have, 96 = 100 - 4
∴ (96)3 = (100−4)3
= ↖3C0(100)3+
3
‌
C1(100)2(−4) +
3
‌
C2(100)(−4)2+
3
‌
C3(−4)3
= (100)3+3(100)2(−4) + 3 (100) (16) + (- 64)
= 1000000 - 120000 + 4800 - 64 = 884736
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