Question : If a + b + c = 0, the value of (a³ + b³ + c³) is:

Option 1: abc

Option 2: 2abc

Option 3: 3abc

Option 4: 0

Question : What is the value of ${a}^3+{b}^3+{c}^3$ if $(a+b+c)=0$?

Option 1: $a^2+b^2+c^2-3abc$

Option 2: $0$

Option 3: $3abc$

Option 4: $a^2+b^2+c^2-ab-bc-ca$

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 + 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 : 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