If x = z = 225 and y = 226 then the value of : x³ + y³ + z³ – 3xyz is

if x⁴+y⁴+x²y²=21 and x²+y²-xy=7, then what is the value of  $${x\over y}+{y\over x}=?$$

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

What is the value of a²+b²+c²-2ab-2bc+2ca?

If a = 2·361, b = 3·263 and c = 5·624, then the value of a³ + b³ – c³ + 3abc is

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

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) 21x² + 10x + 1 = 0
 (ii) 24y²+ 26y + 5 = 0

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