Question

a^4+a^2+1 please make factorisation using different identities​

Answer 1

Identity!

Let's use $a^2-b^2=(a+b)(a-b)$.

$(a^4+a^2+1)$ can be expressed as $(a^4+2a^2+1)-a^2$,

then $(a^4+2a^2+1)$ is factored into $(a^2+1)^2$.

So it's $(a^2+1)^2-a^2$.

Let's use identity now.

∴$(a^2+a+1)(a^2-a+1)$

Sorry if my explanation was a bit messy.