Question

factorise the x to the power 4 -(x-z) to the power 4

Answer 1

x^4 -(x-z)^4=(x^2)^2-{(x-z)^2}^2
=[x^2-(x-z)^2][x^2+(x -z)^2
=(x-x+z)(x+x-z)[x^2+(x-z)^2]
=z(2x-z)[x^2+(x-z)^2]
[a^2-b^2=(a-b)(a+b)]