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


  • 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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