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Question

Question: The co-efficient of y in the expansion of (y<sup>2</sup> 2+c/y)<sup>5</sup> is...

The co-efficient of y in the expansion of (y2 2+c/y)5 is

A

10 c3

B

20 c2

C

10 c

D

20 c

Answer

10 c3

Explanation

Solution

General term in the expansion =$5C_{r}\left( y^{2} \right)^{\begin{matrix} \

\end{matrix}r}\left( \frac{c}{y} \right)^{5 - r}$

=5Cry3r5c5r5C_{r}y^{3r - 5}c^{5 - r}

For coefficient of y, put r = 2