Factorise the following:y^4 + y^2 + 1 - Vidyadip

Question

Factorise the following:$y^4 + y^2 + 1$

✓

Answer

$y^4 + y^2 + 1$
$= y^4 + 2y^2 + 1 - y^2$
$= (y^2 + 1)^2 - y^2$
$= (y^2 + 1 + y)(y^2 + 1 - y).$

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