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  1. If a = 2, b = –3 then the value of 27 a3 – 54 a2b + 36 ab2 – 8b3 is
    1. 1562
    2. 1616
    3. 1676
    4. 1728
Correct Option: D

27a3 – 54a2b + 36ab2 – 8b3
= (3a)3 – 3(3a)2 (2b) + 3 × 3a × (2b)2 – (2b)3
= (3a – 2b)3
= (3 × 2 –2 (–3))3 = (6 + 6)3
= (12)3 = 1728


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