Simplify:
$x^{4} + 2 x^{2} + 1$

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Solution

Simplify $x^{4} + 2 x^{2} + 1$
$x^{4} + x^{2} + x^{2} + 1$ [ $∴$ using middle term expansion]
$x^{2} (x^{2} + 1) + 1 (x^{2} + 1)$
$(x^{2} + 1) (x^{2} + 1)$
$(x^{2} + 1)^{2}$

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