If a + b = a/b + b/a, then the value of a² + b² is –

If (a² − 1)/a = 2, then the value of (a⁶ − 1)/a³ is:

If a + b + c = 3, the value of (1 − a)³ + (1 − b)³ + (1 − c)³ − 3(1 − a)(1 − b)(1 − c) is

If x + (1/x) = 3, then the value of x³ + (1/x³) is :

If x + (1/y) = 1 and y + (1/z) = 1, then the value of z + (1/x) is

If a - b = 4 and ab = 12, what is the value of a² + b²?