Question

please factoize it as soon as possible

Answer 1

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