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If 4x + 1/3x = 12 then find the value of 9x² +1/16x².

If a + b + c = 12 and ab + bc + ca = 50, then find the value of a² + b² + c².

If x + 1/x = 5 then find out the value of x⁵ + 1/(x⁵)?

Find the value of

(1 -  `1/(p+1)` ) + (1 - `2/(p+1)`  ) + (1 - `3/(p+1)`  ) + ........................... + (1 -  `p/(p+1)` )

If  (a³+1)/(a+1) = (a³-1)/(a-1) and a ≠ 1, -1. Find the value of  'a'

If 9x² + 16y² = 24xy, then find the ratio of ‘x’ and ‘y’, respectively.

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

Find the value of the given expression-

(4^x+4 -5× 4^x+2) / 15×4^x – 2²×4^x

(15 x 15 x 15 + 8 x 8 x 8)/(15 x 15 -15 x 8 + 8 x 8) = ?