Question

Factorise: x4 – 3x2 + 2.​

Answer 1

Step-by-step explanation:

$= > {x}^{4} - 3 {x}^{2} + 2 \\ \\ = > {x}^{4} - 2 {x}^{2} - {x}^{2} + 2 \\ \\ = > {x}^{2} ( {x}^{2} - 2) - 1( {x}^{2} - 2) \\ \\ = > ( {x}^{2} - 1)( {x}^{2} - 2) \\ \\ = > (x + 1)(x - 1)( {x}^{2} - 2) \\ \\ = > (x + 1)(x - 1)(x + \sqrt{2} )(x - \sqrt{2} )$