Question

Factorise the expression: a^8+a⁴+1

Answer 1

Answer:

(a^4 - a^2 +1)(a^4 + a^2 +1)

Step-by-step explanation:

Let a^2=b

Therefore,

a^8+a^4+1 becomes: b^4+b^2+1

We know the formula for (x^4+x^2+1)= (x^2-x+1)(x^2+x+1)

Hence, we get: (b^2-b+1)(b^2+b+1)

On substituting,

we get: (a^4-a^2+1)(a^4+a^2+1)