Question

Factorise:-


${x}^{4} + {x}^{2} \: + 1$

Answer 1

=x^4 + x^2 + 1

add and subtract x^2

=x^4 + 2x^2 +1 - x^2

=(x^2 +1)^2 -x^2
= (x^2 +1 -x)×(x^2 +1 + x)

Answer 2

Answer is in the image.