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BINOMIAL THEOREM — MATHS STD 11 Science — Question

Gujarat 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
$(100-4)^3={ }^3 C_0(100)^3+{ }^3 C_1(100)^2(-4)+{ }^3 C_2(100)(-4)^2+{ }^3 C_3(-4)^3$
$=(100)^3+3.10000(-4)+3.100 .16+(-64)$
$=1000000-120000+4800-64$
$=1004800-120064=884736$

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