If A + B = 12 and AB = 17, what is the value of A3 + B3 ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e 1116
⇒ a3 + b3 = (a + b)3 - 3ab(a + b)
⇒ A + B = 12 & AB = 17
⇒ A3 + B3 = (12)3 - 3(17)(12)
⇒ A3 + B3 = 1728 - 612
⇒ A3 + B3 = 1116