Question

factorise by completing square

a² + a⁴ + 1​

Answer 1

$\left(a^{2}-a+1\right)\left(a^{2}+a+1\right)$

Answer 2

Answer:

$\huge\red{\boxed{\sf AnSWeR }}$

a⁴ +a²+1=(a² +2a² +1)−a²

→(a²+1)²−(a)²

Factors are:

$\huge\orange{\boxed{\sf (a² +a+1)(a² −a+1) }}$

$\huge\blue{\boxed{\sf Identity \:used}}$

(a+b)²=a²+b²+2ab