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Binomial Theorem — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSBinomial Theorem2 Marks
Question
Using binomial theorem, evaluate: (96)3
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Answer

(96)3 = (100 - 4)3
Using binomial theorem, we have
(100 - 4)3 = 3C0 (100)3 + 3C1(100)2 (-4) + 3C2(100)(-4)2 + 3C3(-4)3
= (100)3 + 3.10000 (-4) + 3.100.16 + (-64)
= 1000000 - 120000 + 4800 - 64
= 1004800 - 120064 = 884736

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