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    Question

    8p 3  - 27q 3  - 36p 2 q

    + 54pq 2  is equivalent to:
    A (2p + 3q) ³ Correct Answer Incorrect Answer
    B (2p - 3q) ³ Correct Answer Incorrect Answer
    C (3p - 2q) ³ Correct Answer Incorrect Answer
    D (3p + 2q) ³ Correct Answer Incorrect Answer

    Solution

    We know that: (a - b) 3  = a 3  - b 3  - 3a 2 b + 3ab 2

    8p 3  - 27q 3  - 36p 2 q + 54pq 2

    = (2p) 3  - (3q) 3  - 3 * (2p) 2  * 3q + 3 * 2p * (3q) 2

    = (2p - 3q) 3

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