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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