(Math Quiz 10 – CT) In the expansion ({left( {2a – b} right)^5}), the coefficient of the 3rd term is equal to:


  • Question:

    In the expansion \({\left( {2a – b} \right)^5}\), the coefficient of the third term is equal to:

    Reference explanation:

    Correct Answer: GET

    We have: \({\left( {2a – b} \right)^5}\)

    \( = C_5^0{\left( {2a} \right)^5} – C_5^1{\left( {2a} \right)^4}b + C_5^2{\left( {2a} \right )^3}{b^2} \ldots \)

    Therefore the coefficient of the third term is equal to \(C_5^2.8 = 80\).

    ADSENSE

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