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 + 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 $a+b+c=1, ab+bc+ca=-1$ and $abc=-1$, then the value of $a^{3}+b^{3}+c^{3}$ is:

Option 1: 1

Option 2: – 1

Option 3: 2

Option 4: – 2

Question : If $a^{2}+b^{2}+c^{2}=ab+bc+ca,$ then the value of $\frac{a+c}{b}$ is:

Option 1: 3

Option 2: 2

Option 3: 0

Option 4: 1

Question : If a + b + c = 6 and a² + b² + c² = 38, then what is the value of a(b² + c²) + b(c² + a²) + c(a² + b²) + 3abc?

Option 1: 3

Option 2: 6

Option 3: –6

Option 4: –3