If x + y + 3 = 0 , then find the value of x³+y³-9xy+9.

If 27(x+y)³ – 8(x-y)³=(x+5y)(Ax²+By²+Cxy), then what is the value of (A+B-C)?

If a + b – c = 0 then the value of 2b²c² + 2c²a² + 2a²b² –a⁴ – b⁴ – c⁴

If x = 19 and y = 18, then the value of   $$ {{x^2}+{y^2}+{xy}}\over x^3-y3 $$ is

The HCF of x⁸ – 1 and x⁴ + 2x³ – 2x – 1 is :

If a ≠ b, then which of the following statement is true ?

Out of the given responses, one of the factors of (a² – b² )3 + (b² – c²) 3 + (c² – a²) 3 is

If 9x² + y² = 37 and xy = 2, x, y>0, then the value of (27x³+ y³) is: