Question : If a + b = 17 and a – b = 9, the value of (4a² + 4b²) is:

Option 1: 710

Option 2: 720

Option 3: 730

Option 4: 740

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

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 : 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 : For what value of k will the expression x⁶ – 18x³ + k be a perfect square?

Option 1: –9

Option 2: –81

Option 3: 9

Option 4: 81

Question : If the expression px³ – 2x² – qx + 18  is completely divisible by  (x² – 9), then what is the ratio of p to q?

Option 1: 1 : 9

Option 2: 1 : 3

Option 3: 3 : 1

Option 4: 9 : 1