Question

Factorise x^4 − (x − z)^4

Answer 1

z(2x-z)*(2x^2-2xz+z^2)

Explanation:

(x^2-(x-z)^2)*(x^2+(x-z)^2)

((x-(x-z))*((x+(x-z))*(x^2+x^2-2xz+z^2)

((x-x+z)*(x+x-z))*(2x^2-2xz+z^2)

Thus:

z(2x-z)*(2x^2-2xz+z^2)