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 a³ + b³ = 217 and a + b = 7, then the value of ab is:

Option 1: – 6

Option 2: – 1

Option 3: 7

Option 4: 6

Question : If x⁶ – 512y⁶ = (x² + Ay²) (x⁴ – Bx² y² + Cy⁴), then what is the value of (A + B – C)?

Option 1: –80

Option 2: –72

Option 3: 72

Option 4: 48

Question : If a + b + c = 5 and ab + bc + ca = 7, then the value of a³ + b³ + c³ – 3abc is:

Option 1: 15

Option 2: 20

Option 3: 25

Option 4: 30

Question : If $a=331, b=336$ and $c=–667$, then the value of $a^3+b^3+c^3–3abc$ is:

Option 1: 1

Option 2: 63

Option 3: 3

Option 4: 0