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 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 : 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 : Simplify the given expression.
(a – 2b)(b – 3a) + (a + b)(a – 3b) – (b – 3a)(4a – 5b)

Option 1: 8a² – 10ab

Option 2: 8a² + 10ab

Option 3: 10a² – 14ab

Option 4: 10a² – 4ab

Question : a³ – b³ = 91 and a – b = 1, what is the value of (ab)?

Option 1: 27

Option 2: 6

Option 3: 9

Option 4: 30