1.

Factorize the following a^4+a^2+1 ​

Answer»

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



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