if 2x + 3y = 17 and 2x+2 – 3y+1 = 5, then :

What is the product of (x + a) and (x + b)?

If a + b = 1 and a³ + b³ + 3ab = k, then the value of k is

and a, b, c are rational numbers, then a + b + c is equal to

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 3x² + 11x + 10 = 0
 (ii) 2y² + 11y + 14 = 0

If m = – 4, n = – 2, then the value of m³ – 3m² + 3m + 3n + 3n² + n³ is

if x⁴+y⁴+x²y²=21 and x²+y²-xy=7, then what is the value of  

If x² + x = 5 then the value of   is