Factors of $a^{4} + a^{2} + 1$ are

(a - 4) (a + 2)

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(a^{2} + 2 - 1) (a^{2} + a + 2)

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(a^{2} + a + 1) (a^{2} - a + 1)

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(a - 1) (a^{2} - a + 1)

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Solution

The correct option is C $(a^{2} + a + 1) (a^{2} - a + 1)$
$a^{4} + a^{2} + 1 = (a^{2} + 2 a^{2} + 1) - a^{2}$
$= (a^{2} + 1)^{2} - (a)^{2}$
$= (a^{2} + a + 1) (a^{2} - a + 1)$

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Factors of a4+a2+1 are

The correct option is C (a2+a+1)(a2−a+1)a4+a2+1=(a2+2a2+1)−a2=(a2+1)2−(a)2=(a2+a+1)(a2−a+1)

Factors of $a^{4} + a^{2} + 1$ are

The correct option is C $(a^{2} + a + 1) (a^{2} - a + 1)$
$a^{4} + a^{2} + 1 = (a^{2} + 2 a^{2} + 1) - a^{2}$
$= (a^{2} + 1)^{2} - (a)^{2}$
$= (a^{2} + a + 1) (a^{2} - a + 1)$