Factorise $x^{4} - 1$.

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

Solution

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

Asked in: MH-SSC-9

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