Question : If a + b = 3, the value of a3 + b3 + 9ab is:
Option 1: 27
Option 2: 9
Option 3: 16
Option 4: 81
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Correct Answer: 27
Solution : Given: a + b = 3 Now, a 3 + b 3 + 9ab = a 3 + b 3 + 3ab × 3 = a 3 + b 3 + 3ab (a + b) = (a + b) 3 = (3) 3 = 27 Hence, the correct answer is 27.
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