If x+y=10 and xy=4, then what is the value of x⁴+y⁴=?

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

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

If $$ {x=2-2^{1\over 3}+2 ^{2\over 3}}$$, then the value of $$ {x^{3}-6x^{2}+18x+18}$$.

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

If x - y = 3, then what is the value of x³ - y³-9xy? 

If $${x}^2+{y}^2x+1=0$$ then the value of $$x^{31}+y{35}$$ is