Question : What is the expansion of ($x$ + 11)($x$ – 11)?

Option 1: $x$² + 11

Option 2: $x$² – 121

Option 3: $x$² + 121

Option 4: $x$² – 11

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

Option 1: – 3ab(a – b)

Option 2: 3ab(a + b)

Option 3: – 3ab(a + b)

Option 4: 3ab(a – b)

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 = 1, ab + bc + ca = –1, and abc = –1, then what is the value of a³ + b³ + c³?

Option 1: 1

Option 2: 5

Option 3: 3

Option 4: 2

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