If x = a - b, y = b - c, z = c - a, then the numerical value of the algebraic expression x³ +y³ + z³ -3xyz will be 

If (x + 6y) = 8, and xy = 2, where x > O, what is the value of (x³+216y³)?

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

If $$64^{x+1}={64\over 4^x}$$, then the value of x

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 a, b are rational number and (a-1)√2+3=b√2+a, the value of (a+b) is : 

If 15x² – 26x + 8 = (Ax + B) (Cx + D), where A and C are positive integers, then what is the value of (2A + B – C – 2D) ?

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