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Permutations , combinations and binomial expansion — Statistics STD 11 Commerce — Question

Gujarat BoardEnglish MediumSTD 11 CommerceStatisticsPermutations , combinations and binomial expansion2 Marks
Question
Expand: $(3 a+4 b)^3$
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Answer

$(3 a+4 b)^3={ }^3 C_0(3 a)^3(4 b)^0+{ }^3 C_1(3 a)^2(4 b)^1+{ }^3 C_2(3 a)(4 b)^2+{ }^3 C_3(3 a)^0(4 b)^3$
$=1.27 a^3 \cdot 1+3.9 a^2 \cdot 4 b+3.3 a \cdot 16 b^2+1.1 .64 b^3$
$=27 a^3+108 a^2 b+144 b^2+64 b^3$

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