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    Question

    Find the coefficient of x³ in (2x −

    3)⁶.
    A 3520 Correct Answer Incorrect Answer
    B -4320 Correct Answer Incorrect Answer
    C -6620 Correct Answer Incorrect Answer
    D 4205 Correct Answer Incorrect Answer

    Solution

    ATQ,

    ATQ,

    General term: Tₖ₊₁ = C(6,k)(2x(6−k)(−3)k For x³ → power of x = 3 → (6 − k) = 3 ⇒ k = 3 Coeff = C(6,3)·2³·(−3)³ = 20·8·(−27) = −4320

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