Question : If a + b = 6 and ab = 4, then what is the value of a3 + b3?
Option 1: 125
Option 2: 120
Option 3: 144
Option 4: 81
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Correct Answer: 144
Solution :
a + b = 6
ab = 4
We know that, a³ + b³ = (a + b)³ - 3ab(a + b)
⇒ a³ + b³ = (6)³ - 3 × 4 × 6
⇒ a³ + b³ = 216 - 72 = 144
Therefore, the value of a³ + b³ is 144.
Hence, the correct answer is 144.
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