Question

Factorise: x⁴- (x - z)⁴​

Answer 1

x ⁴ −(x−z) ⁴

=(x²)²−{(x−z)²}²

=(x² +(x−z)² )(x² −(x−z)²) ²

=(x² +x² −2xz+z² )(x+x−z)(x−x+z)

=(2x² −2xz+z²)(2x−z)(z)