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 : If the HCF of xy³, x² y, and x³ y⁴ is xy, then their LCM is________.

Option 1: x³ y⁴

Option 2: x³ y³

Option 3: x⁴ y³

Option 4: x⁴ y⁴

Question : If x + y = √3 and x – y = √2, the value of 8xy(x² + y²) is:

Option 1: 6

Option 2: √6

Option 3: 5

Option 4: √5

Question : If the expression px³ – qx² – 7x – 6 is completely divisible by x² – x – 6, then what are the values of p and q respectively?

Option 1: 0 and 1

Option 2: 1 and 0

Option 3: 2 and 1

Option 4: 1 and 2

Question : If x + y = 36, then find (x – 27)³ + (y – 9)³.

Option 1: 1

Option 2: 81

Option 3: 2y

Option 4: 0