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 p, q, r are all real numbers, then (p – q)³ + (q – r)³ + (r – p)³ is equal to 

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

if 2x² – 7x + 5 =0, then what is the value of $$x^2+{25\over 4x^2}$$

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

If x + y + 3 = 0 , then find the value of x³+y³-9xy+9.

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