If a\b + b\a =1, then the value of a³+b³ will be 

What will be the value of x³+y³+z³-3xyz when x+y+z=9 and x²+y²+z²=31?

If a+b=2c, find $${a\over a-c}+{c\over b-c}?$$

If a-6b = 3 then the value of a³-216b³-54ab is : 

If  $$\sqrt{a}+\sqrt{b}=15 \ and \ (\sqrt{a}-\sqrt{b} )=3$$ then the value of $$\sqrt{ab/4} $$ is 

Find the minimum value of x which the expression  
x³-7x²+11x - 5 ≥ 0.

If a+b+c=15 and a²+b²+c²=83 then the value of a³+b³+c³-3abc

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