Question : What is the possible value of (a + b + c) – 3, if a² + b² + c² = 9 and ab + bc + ca = 8?

Option 1: 5

Option 2: 3

Option 3: 9

Option 4: 2

Question : If (a – b) = 1 and ab = 6, then what is the value of (a³ – b³)?

Option 1: 21

Option 2: 23

Option 3: 19

Option 4: 25

Question : If a + b + c = 1, ab + bc + ca = –22 and abc = –40, then what is the value of a³ + b³ + c³ ?

Option 1: 67

Option 2: –53

Option 3: –51

Option 4: 27

Question : For what value of k will the expression x⁶ – 18x³ + k be a perfect square?

Option 1: –9

Option 2: –81

Option 3: 9

Option 4: 81

Question : If (a – b) = 1, what is the value of (a³ – b³)?

Option 1: a² + ab + b²

Option 2: (a + b)² + 3ab

Option 3: a² – ab + b²

Option 4: a² + 2ab + b²