`x^(831) + y^(831)` is always divisible by

If x is an integer, then (x +1) ^(4) – (x -1) ^(4) is always divisible by

If x is an integer, then (x + 1)^(4) - (x-1)^(4) is always divisible by

Let XYZ be a 3-digit number.Let S=XYZ+YZX+ZXY . Which of the following statements is // are correct ? 1. S is always divisible by 3 and ( X+Y+Z) 2. S is always divisible by 9 3. S is always divisible by 37 Select the correct answer using the code given below :

Applying P.M.I. prove that x^n-y^n is always divisible by x+y where n is a pos. even integer

A number is always divisible by 180, if

Prove that the polynomial (x^(-19)+y^(-19)) is not divisible by (x - y), but is divisible by (x + y).

If a number is divisible by two numbers x and y, then it is divisible/not divisible by their product x xx y