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Given that x⁸-34x⁴+1=0, x>0. What is the value of (x³+ x^-3)?

Simplify the expression:
3x + 5y - [(7x + 3y) - (2x + y) + 4y] - x

(288 ÷ 8)² × (144 ÷ 24)³ = 24 × ? × (51840 ÷ 20)

If a = 901, b= 903, and c= 906, then find the value of a³ + b³ +c³ –3abc?

If a + b + c = 6, a³ + b³ + c³-3abc = 342, then what is the value of ab + bc + ca

If (8x - 3y) = 196 and 7x:4y = 35:16, then find the value of (x² + 4y²).

If (6x + y) = 180 and 5x:2y = 25:12, then find the value of (2x² + 5y²).

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

If (a + b + c) = 9, find (a – 4)³ + (b – 2)³ + ( c – 3)³ - 3(a – 4 ) (b – 2 ) (c – 3)?