Question : If (a + b)² = 100 and (a – b) = 4 then ab equals to:

Option 1: 116

Option 2: 84

Option 3: 21

Option 4: 53

Question : If (a – b) = 1 and ab = 6, then what is the value of (a³ – b³)?

Option 1: 21

Option 2: 23

Option 3: 19

Option 4: 25

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 : If (a – b) = 1, what is the value of (a³ – b³)?

Option 1: a² + ab + b²

Option 2: (a + b)² + 3ab

Option 3: a² – ab + b²

Option 4: a² + 2ab + b²

Question : What is the value of (3x³ + 5x²y + 12xy² + 7y³), when x = – 4 and y = – 1?

Option 1: – 329

Option 2: – 359

Option 3: – 361

Option 4: – 327

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