Question

factorise this in the lowest form. x¹⁶- y¹⁶​

Answer 1

$\sf{} {x}^{16} - {y}^{16} \\ \\ \sf \to{}( {x}^{8} {)}^{2} - ({y}^{8} {)}^{2} \\ \\ \to{} \sf( {x}^{8} + {y}^{8} )( {x}^{8} - {y}^{8} )$

identity:

a² - b² = (a + b) ( a - b)