Question

factories xpower 8 -1

Answer 1

©. x^8 - 1

= ( x^4 )^2 - ( 1 )^2

=( x^4 - 1 ) (x^4 + 1 )

= { ( x^2 )^2 - (1)^2 } ( x^4 + 1 )

= ( x^2 - 1 ) (x^2 + 1 ) ( x^4 + 1 )

= { (x)^2 - (1 ) ^2 } ( x^2 + 1 ) ( x^4 + 1 )

= ( x - 1 ) (x + 1 ) ( x^2 + 1 ) ( x^4 + 1 )

【 hope it helps 】