Question

x^4+3x^2+4 factorisation with explanation please.

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Answer 1

Answer:

${x}^{4} + {3}^{2} + 4$

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

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

$since \: {x}^{2} + {y}^{2} - 2xy = ( {x - y)}^{2}$

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

$since \: ( {x}^{2} - {y}^{2} ) = (x + y)(x - y)$

hope it helps :)