**Question:**

In the expansion \({\left( {2x – 1} \right)^{10}}\), the coefficient of the term containing x 8 x8 is:

**Reference explanation:**

**Correct Answer: EASY**

The general term in the above expansion is

\({T_{k + 1}} = C_{10}^k{.2^{10 – k}} {x^{10 – k}} {\left( { – 1} \right)^ k}\)

Requires the problem to occur when

\(10 – k = 8 \Leftrightarrow k = 2\)

Then the coefficient of the term containing \({x^8}\) is: \(C_{10}^2{.2^8} = 11520\).

ADSENSE

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