If '+' means ×, '–' means ÷, '×' means + and '÷'

If a + b + c = 6, a² + b² + c² = 14 and ab + bc+ ca = 11, then what is the value of a³ + b³ +c³ –3abc?

If x³ + y³ = 9 and x + y=3 then the value of x⁴ + y⁴ is:

(44² × 16²) ÷ (184.8 ÷ 8.4) =? × 64

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

A dishonest dealer claims to sell goods at cost price but uses a false weight of 900g instead of 1kg. What is his profit percentage?

((99.9 - 20.9)² + (99.9 + 20.9)² )/(99.9 x 99.9 + 20.9 x 20.9) = ?

If polynomial P(x) = x³ - 3x² + 5x-3 is divided by polynomial G (x) = x² - 2, the quotient and remainder are:

if 3y-3/y=8 then find the value of y ² +1/y²