**Question:**

In the expansion \({\left( {2x – 5y} \right)^8}\), the coefficient of the term containing \({x^5}.{y^3}\) is:

**Reference explanation:**

**Correct answer: A**

The general term in the above expansion is

\(\begin{array}{l}

{T_{k + 1}} = {\left( { – 1} \right)^k}C_8^k. {\left( {2x} \right)^{8 – k}}{\left( {5y} \right)^k}\\

= {\left( { – 1} \right)^k}C_8^k{.2^{8 – k}}{5^k}. {x^{8 – k}}. {y^k}

\end{array}\)

Requires the problem to occur when. Then the coefficient of the term containing \({x^5}.{y^3}\) is:−22400

ADSENSE

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