If, ( a + b = 8 ) and ( a² + b² = 40 ), then find the value of (a³ + b³). 

For a =-4 and b = 5, value of a² – b² is:

If, ( a + b = 20 ) and ( a² + b² = 208 ), then find the value of (a³ + b³).

A man running at the speed of 6 kmph was over taken by the train moving with the speed of 78 kmph in 20 seconds. Find the length of train.

If (a + b) = 15 and (a² + b²) = 113, then find the value of (a × b).

If a + b + c = 11, ab + bc + ca = 3 and abc = -135, then what is the value of a³ + b³ + c³ ?

If x = 222, y = 223 and z = 224, then find the value of x³ + y³ + z³ – 3xyz

If x + 1/x = 5, find: x² + 1/x²

If p = 34 - q - r and pq + r(q + p) = 289, then find the value of (p² + q² + r²).

If a + b + c = 8, a² + b² + c² = 18 and ab + b c+ ca = 12, then what is the value of a³ + b³ +c³ –3abc?