Question

Factorise the following expression-
x^4 - (x-z)^ 4

Answer 1

Answer:

z(z-2x)(2x²-2xz+z²)

Step-by-step explanation:

x⁴- (x-z)⁴ = (x²)²-((x-z)²)²

=(x²+(x-z)²)(x²-(x-z)²)

=(2x²-2xz+z²)(z²-2xz)

=z(z-2x)(2x²-2xz+z²)