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If a + b = 1 and ab = -6, then what is the value of a3 + b3?

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If a + b = 1 and ab = -6, then what is the value of a3 + b3?
1). 17
2). 15
3). 19
4). 13


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Answered by on | Votes 1 |

Since we know that (a + b) 3 = a3 + b3 + 3ab(a + b), put all the values given values

⇒ 13 = a3 + b3 + 3 × 3(- 6)

⇒ a3 + b3 = 19

∴ the value of a3 + b3 is 19

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