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Find the coefficient of x^6 in the expansion of (3 + 2x)^{10}.

Question

Find the coefficient of $x^{6}$ in the expansion of $(3 + 2 x)^{10}$ .

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Michael Discussed

Find the coefficient of

x^{6}

in the expansion of

(3 + 2 x)^{10}

9 mins ago

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9 mins ago

Text solutionVerified

The coefficient of

x^{6}

in the expansion

(3 + 2 x)^{10}

^{10} C_{6} . 3^{4} . 2^{6}

=^{10} C_{4} . 3^{4} . 2^{6}

[ Since

^{n} C_{r} =^{n} C_{n - r}

for

n > 0, n - r > 0, r > 0

]

= 210. 3^{4} . 2^{6}

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Question Text	Find the coefficient of $x^{6}$ in the expansion of $(3 + 2 x)^{10}$ .
Answer Type	Text solution:1
Upvotes	150