If a=25, b=15 , c=-10 then find the value of $$ {a^{3}+b^{3}+c^{3}-3abc\over {(a-b)^{2}+(b-c)^{2} +(c-a)^{2}}}$$

 If 3x²-5x+1=0, then the value of ( $$x^2+{1\over 9x^2}$$) is 

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

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

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

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

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