Question

factorise x^4-(x-z)^4

Answer 1

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Answer 2

(x^2)^2 - {( x-y)^2}^2

by identity  a^2 - b^2

{(x^2)+(x-y)^2} {(x^2)-(x-y)^2}

again by this identity

{x^2+x^2+ y^2-2xy} [{x-(x-y)}{x+(x-y)}]

[2x^2+y^2-2xy} {x-x+y}{x+x-y}

[2x^2 +y^2-2xy] {y(2x-y)}