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

Question

Find the coefficient of $x^{6} y^{3}$ in the expansion of $(x + 2 y)^{9}$

160

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Lucas Discussed

Find the coefficient of

x^{6} y^{3}

in the expansion of

(x + 2 y)^{9}

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

In the expansion of

(x + 2 y)^{9}

,\ the term comes

=^{9} c_{3} x^{6} (2 y)^{3}

having

x^{6} y^{3} .

Hence, the coefficient of $x^{6} y^{3}$

$=^{6} c_{3} \times 8$

$= \frac{6 !}{3 ! 3 !} \times 8$

$= 5 \times 4$ $\times 8$

$= 160.$

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Question Text	Find the coefficient of $x^{6} y^{3}$ in the expansion of $(x + 2 y)^{9}$
Answer Type	Text solution:1
Upvotes	150