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Question : If a + b = 6 and ab = 4, then what is the value of a+ b3?

Option 1: 125

Option 2: 120

Option 3: 144

Option 4: 81


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

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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