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

If 'a' = 2 + √3, then find the value of [a² - (1/a²)].

`25(2/3)+11(1/9)+16(4/5)xx6(5/12)` = ? - `632/45`

If x + y = 2 and 1/x + 1/y = 18/15, then find the value of (x³ + y³)?

If 10x² – 6xy+y² – 4x+4= 0, then find the value of (3x+2y).

If (r + s + t) = 12 and (rs + st + tr) = 60, then find the value of (r² + s² + t²).

If x² + x = 11

find (x+4)³ +1/((x+4)³)

If x, y and z are real numbers such that (x-5)²+(y-8)²+(z-12)²= 0 then (x+y+z) is equal to