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(a+b)(a-b) Expansion and Visualisation

Factorise 2x...

Question

Factorise
${2 x}^{4} + 1 + 3 x^{2}$

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Solution

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

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