(Math Quiz 10 – CT) In the expansion ({left( {8{a^2} – frac{1}{2}b} right)^6}), the coefficient of the containing term ({a^9 }{b^3}) is:

  • Question:

    In the expansion \({\left( {8{a^2} – \frac{1}{2}b} \right)^6}\), the coefficient of the term contains \({a^9}{ b^3}\) is:

    Reference explanation:

    Correct answer:

    The general term in the above expansion is

    \({T_{k + 1}} = {\left( { – 1} \right)^k}C_6^k{.8^{6 – k}}{a^{12 – 2k}}{.2 ^{ – k}}{b^k}\).

    Ask the problem to occur when k = 3 .

    Then the coefficient of the term containing \({a^9}{b^3}\) is: \( – 1280{a^9}. {b^3}\).


  • =======================
    MonToan.com shares with you the practice of multiple-choice tests according to the lesson of MATH 10. Multiple-choice questions with detailed answers help you compare and refer to assess your ability. I wish you all the best and success in your studies.

    Source link net do edu

    Leave a Reply