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

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

$$4a-{4\over a}+3=0$$ then the value of :   $$ a^3-{1\over a^3}+3=?$$

If 27(x+y)³ – 8(x-y)³=(x+5y)(Ax²+By²+Cxy), then what is the value of (A+B-C)?

If x = 19 and y = 18, then the value of   $$ {{x^2}+{y^2}+{xy}}\over x^3-y3 $$ is

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

Out of the given responses, one of the factors of (a² – b² )3 + (b² – c²) 3 + (c² – a²) 3 is