Question : If A + B = – 5 and AB = 6, then find the value of A3 + B3.
Option 1: 35
Option 2: 45
Option 3: –35
Option 4: 215
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Correct Answer: –35
Solution : We know that, (A + B) 3 = A 3 + B 3 + 3AB(A+B) ⇒ (–5) 3 = A 3 + B 3 + 3 × 6(–5) ⇒ –125 = A 3 + B 3 – 90 $\therefore$ A 3 + B 3 = –35 Hence, the correct answer is –35.
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