If   $$ {{x+1}\over4x}={5\over 2}$$ then what is the value of   $$ 64x^6+1\over 8x^3  $$

If x+y+z=22 and xy+yz+zx=35, then what  is the value of (x-y)² +(y-z)²+(z-x)²?

If for two real constants a and b the expression ax³+3x²-8x+b is exactly divisible by (x+2) and (x-2), then 

If (a-b)² + (b-c)² + (c-a)² = 0, then find the value of (a³+b³+c³-3abc) ?

If a+b=17,and a – b =9, then the value of $$ {(4a^2+4b^2)}$$ is:

x-y=2, xy=24, then the value of (x²+y²) is:

If a²=b+c, b²=c+a  and c²=a+b then the  value of $$ {1\over{1+a}}+{1\over{1+b}}+{1\over{1+c}}$$ is

If $$ {x+{1\over x}}=3$$ then find the value of $$ {x^2}-{1\over {x^2}}$$: