Pondicherry was captured by the Dutch in 1693 but was

Determine the remainder when the polynomial 4x ³  - 5x ²  + 2x + 1 is divided by (4x - 3).

If 2x + y = 15 and xy = 18, then the value of (4x² - y²)

If the sum of three numbers is zero, then which of the options below will always be equal to the value of the sum of the cubes of those numbers?

If x   = 107, then find the value of  x(x² - 12x + 48)  ?

If p = 33 - q - r and pq + r(q + p) = 260, then find the value of (p² + q² + r²).

If (p + q) = 12 and pq = 32, then find the value of (p² + q²).

If a + b + c = 11, ab + bc + ca = 3 and abc = -135, then what is the value of a³ + b³ + c³ ?

If 125x³ - 216y³ = (5x - Ay) X (Bx² + 36y² + Cxy), then find the value of 3 X (2A + 6B) - 2C.

If 'a' = 2 + √3, then find the value of [a² - (1/a²)].