If a + b + c = 6, a³ + b³+c³-3abc=342, then what is the value of ab + bc + ca?

If a = 34, b = c = 33, then the value of a³ + b³ + c³ – 3abc is

if $${{x^{24}+1}\over x^{12}}=7$$ then the value of   $${{x^{72}+1}\over x^{36}}$$ is

if $$m+{1\over(m-2)}=4$$,then find the value of  $$ (m-2)^2+ \left({{1\over {m-2}}} \right)^2 \ $$

If   $$ a={b^2\over b-a} $$  then the value of a³ + b³ is 

If α, β are the roots of 6x²+13x+7=0, then the equation whose roots are α², β² is:

If $$P_1$$, $$P_2$$, and $$P_3$$ are three distinct prime numbers, then what is the least common multiple of $$P_1$$, $$P_2$$, and $$P_3$$?

If a + b + c = 6, a² + b² + c² = 14 and a³ + b³ + c³ = 36, then the value of abc is