If (3x – 2y) : (2x + 3y) = 5 : 6, then one of the values of $${\left({^3\sqrt { x}+\ ^3\sqrt { y}\over ^3\sqrt { x}-\ ^3\sqrt { y} } \right) \ }^2$$ is

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

The HCF of x⁸ – 1 and x⁴ + 2x³ – 2x – 1 is :

If a + b – c = 0 then the value of 2b²c² + 2c²a² + 2a²b² –a⁴ – b⁴ – c⁴

If   $$ a={b^2\over b-a} $$  then the value of a³ + b³ 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 = 34, b = c = 33, then the value of a³ + b³ + c³ – 3abc 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 $$P_3$$?