Find the next term of the sequence 1, 8, 4, 27, 9,

If (x – 3) is a factor of (x² + 4qx – 2q), then the value of q is:

Evaluate (998)³ without multiplying directly.

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

If  a²+2 = 2a

then find a⁴ - a³ + 2a² -2a+ 9 = ?

If (a + b + c) = 18 and (ab + bc + ca) = 100, then find the value of (a² + b² + c²).

If 8x³ - 125y³ = (2x - Ay) X (Bx² + 25y² + Cxy), then find the value of 3 X (2A + 6B) - 2C.

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

If x = 15, find x⁵ - 16x⁴ + 16x³ - 16x² + 16x - 16 = ?