Question

factorize the following a^4+a^2+1 ​

Answer 1

Step-by-step explanation:

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