Question

factorise given expressions x⁴-(x-z)⁴​

Answer 1

Answer:

-z{2x²-2xz-z²}{2x+z}

Explanation:

  x⁴-(x-z)⁴​

=(x²)²-{(x-z)²}²

={x²+(x-z)²}{x²-(x-z)²}

={x²+x²-2xz+z²}{{x²-x²-2xz-z²}

={2x²-2xz-z²}{-2xz-z²}

= -z{2x²-2xz-z²}{2x+z}