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- If n = 6 + √13, then find the value of (n + 1/n)².
- If x + y + z = 4, xyz = 6 & x2 + y2 + z2 = 8 then find the value of x3 + y3 + z3.
- If 3x + 4y = 18 and 2x - y = 1, then x2 + y2 is:
- If, 3x + 2y = 15, and 2xy = 12, and 3x > 2y, then find the value of 27x³ – 8y³.
- If x + 1/x = 5, find: x² + 1/x²
- If 9x² + y² = 37 and xy=2, x, y>0, then the value of (27x³ + y³) is:
- If x – 1/x = 9, then x3 – 1/x3 is:
- If (x 2 = 6x – 9), then find the value of [x³ + (x⁴/9)][5 - x³]
- If (x4 + x2y2 + y4) = 273 and (x2 + xy + y2) = 21, then find the value of '5xy'.
- If a + b + c = 11, ab + bc + ca = 3 and abc = -135, then what is the value of a³ + b³ + c³ ?
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