Question

Factorise :1-256y^8​

Answer 1

Step-by-step explanation:

${1}^{8} - {(2y)}^{8} \\ {( {1}^{4} )}^{2} - {( {2y}^{4} )}^{2} \\ ({1}^{4} + {2y}^{4} )( {1}^{4} - {2y}^{4} ) \\ ({1}^{4} + {2y}^{4} ) (( {1}^{2})^{2} - ({2y}^{2} )^{2} ) \\ ({1}^{4} + {2y}^{4} )( {1}^{2} + ({2y})^{2} )( {1}^{2} - ({2y})^{2} ) \\ ({1}^{4} + {2y}^{4} )( {1}^{2} + ({2y})^{2} )(1 + 2y)(1 - 2y)$