Factorize: `x^4-(x-z)^4`

Factorize: x^4-(y+z)^4

Factorize: a^4-b^4

Factorize: (x^2-2xy+y^2) - z^2

Determine which of the following polynomials has (x+1) a factor : x^(4)+x^(3)+x^(2)+x+1

If x^(2)-3 x+2 is a factor of x^(4)-p x^(2)+q , then the values of p and q are

Find the values of a and b if x^(2)-4 is a factor of ax^(4)+2x^(3)-3x^(2)+bx-4 and hence factorise it completely.

Show that (x-2) , (x+3) and (x-4) are factors of x ^(3) -3x ^(2) -10x + 24.

Show that (x +4) ,(x-3) and (x-7) are factors of x ^(3) - 6x ^(2) - 19 x + 84.

If x - 1 is a factor of x^(5) - 4x^(3) +2 x^(2) - 3x + k = 0 then k is

Check whether (x-2) is a factor of x ^(3) - 2x ^(2) - 5x +4