Question

Z⁸+Z⁴+1 solve factorize

Answer 1

`\sf\\z^8+z^4+1\\\\=z^8+2z^4+1-z^4\\\\=(z^4+1)^2-(z^2)^2\\\\=(z^4+z^2+1)(z^4-z^2+1)\\\\=[z^4+2z^2+1-z^2](z^4-z^2+1)\\\\=[(z^2+1)^2-z^2](z^4-z^2+1)\\\\=(z^2+z+1)(z^2-z+1)(z^4-z^2+1)`