Question : If (a – b) = 1 and ab = 6, then what is the value of (a3 – b3)?
Option 1: 21
Option 2: 23
Option 3: 19
Option 4: 25
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Correct Answer: 19
Solution : Given: (a – b) = 1 ab = 6 We know, a 3 – b 3 = (a – b) 3 + 3ab(a – b) ⇒ a 3 – b 3 = (1) 3 + (3 × 6 × 1) = 1 + 18 = 19 Hence, the correct answer is 19.
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