Question

Factorise:x⁴-1............ ​

Answer 1

Answer:

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Answer 2

$\bf\large\underline\blue{Question:-}$

Factorise $x^{4}-1$

$\bf\large\underline\blue{Solution:-}$

${x}^{4} - 1$

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

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

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

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

$\bf\large\underline\blue{Answer:-}$

• Answer is $( {x}^{2} + 1)(x + 1)(x - 1)$