What is the difference between the mode and the meaning

If (x² + 1)/x = 3, what is the value of (x¹² + 1)/x ⁶ ?

If AB = x + 3, BC = 2x and AC = 4x − 5, then for what value of ‘x’ does B lie on AC?

If x^2a = y^2b =z^2c ≠ 0 and x² = yz, then the value of (ab + bc + ca) /bc is :

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

If √b + (1/√b) = 8, then find the value of b + (1/b).

 If x + 1/x = 5, then find [x² + (1/x²)].

(u - 5) ² + (v + 2) ² + (w – 4) ² = 0, then find the value of 4u - v + w.

Two positive numbers differ by 2, and the sum of their reciprocals is 3/4. What is the larger number?

If 27x³ - 8y³ = (3x - Ay) X (Bx² + 4y² + Cxy), then find the value of 3 X (2A + 6B) - 2C.

If  a²+2 = 2a

then find a⁴ - a³ + 2a² -2a+ 9 = ?