If x² + y² + 2x + 1 = 0, then the value of x³¹ + y³⁵ is

• -1

• 0

• 1

• 1

If  then the value of  equals

• 90

• 100

• 110

• 110

If a³ = 117 + b³  and a = 3 + b, then the value of (a + b) is

If a + b + c = 0 then the value of  is

• 0

• 1

• 3

• 3

If a² + b² + c² = 16,  x² + y² + z² = 25  and ax + by + cz = 20, then the value of  is

The value of x which satisfies the equation 
is

• (a² + b² + c²)

• - (a² + b² + c²)

• (a² + 2b² + c²)

• (a² + 2b² + c²)

127.

If  the value of  is

• 
• 
• 
• 

Let 0 < x < 1. Then the correct inequality is

If x⁴ + 2x³ + ax² + bx + 9 is a perfect square, where a and b are positive real numbers, then the values of a and b are

• a = 5,  b = 6

• a = 6,  b = 7

• a = 7,  b = 6

• a = 7,  b = 6

If (a + b)² = 100 and (a - b) = 4, then ab equals to

• 116

• 84

• 21

• 21