Question : If a + b + c = 0, then the value of (a + b – c)² + ( b + c – a)² + ( c + a – b)² is:

Option 1: 0

Option 2: 8abc

Option 3: 4(a² + b² + c²)

Option 4: 4(ab + bc + ca)

Question : If a + b + c = 19, ab + bc + ca = 120, then what is the value of a³ + b³ + c³ – 3abc?

Option 1: 18

Option 2: 23

Option 3: 31

Option 4: 19

Question : If (a + b + c) = 7 and ab + bc + ca = 12, find the value of a² + b² + c².

Option 1: 29

Option 2: 31

Option 3: 27

Option 4: 25

Question : If A + B = – 5 and AB = 6, then find the value of A³ + B³.

Option 1: 35

Option 2: 45

Option 3: –35

Option 4: 215

Question : If a + b + c = 15 and a² + b² + c² = 83 then the value of a³ + b³ + c³ – 3abc:

Option 1: 200

Option 2: 180

Option 3: 190

Option 4: 210