Question : What is the value of (a + b)³ – a³ + b³?

Option 1: –3ab(a – b) + 2b³

Option 2: 3ab(a + b) + 2b³

Option 3: 3ab(a – b) + b³

Option 4: –3ab(a + b) + b³

Question : What is the value of a² + b² + c² – 2ab – 2bc + 2ca?

Option 1: (2a + b + c)²

Option 2: (a – b + c)²

Option 3: (a – b – 2c)²

Option 4: (a + 2b – c)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 : If a³ + b³ = 152 and a + b = 8, then what is the value of ab?

Option 1: 2

Option 2: 11

Option 3: –10

Option 4: 15