Question

factorise the given question x^8-8

Answer 1

$\large\sf{\underline{\underline{Given \ :}}}$


$\large\sf\red{x^8 - 8}$


$\large\sf{\underline{\underline{Solution \ :}}}$


$\large\sf\blue{\implies \ (x^4)^2 - (2 {\sqrt{2}})^2}$


${\large{\boxed{\boxed{\sf{\purple{a^2 - b^2 \ = \ (a + b)(a - b)}}}}}}$


$\large\sf\blue{\implies \ (x^4 - 2 {\sqrt{2}}) (x^4 + 2 {\sqrt{2}})}$