Question

factorise each of the following
$x {}^{8} - 1$
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Answer 1

Step-by-step explanation:

r

$sol {}^{n}$

$= x {}^{8} - 1$

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

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

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

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

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