If, p³ + q³= 485 and (p + q = 5), then find the value of [(1/p) + (1/q)]

If x = 99, then the value of x⁵ - 100x⁴ + 100x³ - 100x² + 100x - 1 is

If x² + x = 11

find (x+4)³ +1/((x+4)³)

If x² – 5x + 1 = 0, then find the value of {x² + (1/x²)}.

If x + y + z = 4, xyz = 6 & x² + y² + z² = 8 then find the value of x³ + y³ + z³.

What is the square root of the following?

(x² –12x+36) (x² + 8x + 16)

If x² – 8√2x + 1 = 0, then what is the value of x³ + 1/x³.

If x^2a = y^2b =z^2c≠ 0 and x²= yz, then the value of (ab + bc + ca) /bc is :