if $$a+{1\over a}=5$$, then what is the value of $$a^3+{1\over a^3}$$

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

If x = – 1, then the value of   $$ {1\over x^{99}}+{1\over x^{98}}+{1\over x^{97}}+{1\over x^{96}}+{1\over x^{95}}+{1\over x^{94}}+x $$ is

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

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 $$P_3$$?

Find the radius of the circle x²+y²-4x+6y=12

If $${{p^2\over q^2}+{q^2\over p^2}}=1$$, then the value of (p⁶ + q⁶ ) is

If x² + y² + z² = 2 (x + z – 1), then the value of : x³ + y³ + z³ = ?