Question

Factors of x⁴ – (x – y)⁴

Answer 1

Answer:

(2x^2-2xy+y^2)(y-2x)(y)

Step-by-step explanation:

x^4 - (x - y)^4

= (x^2 + (x - y)^2)(x^2 - (x - y)^2)

= (x^2 + (x - y)^2)(x + (x - y))(x - (x - y))

= (x^2 + x^2 - 2xy + y^2)(2x - y)(-y)

= (2x^2 - 2xy + y^2)(y - 2x)(y)