Question

pls solve this question

Answer 1

x⁴+ x² + 1 

x⁴+ 1 + x² 

Add and subtract 2(x²)(1) to make a perfect square 

= (x²)² − 2(x²)(1) + 2(x²)(1) + (1)² + x² 

= (x² + 1)² − 2x² + x² 

= (x² + 1)² − x² 

= (x² + 1)² − (x)² 

Factorize as difference of 2 squares, a² − b² = (a + b)(a − b) 

= [ (x² + 1) + (x) ] [ (x² + 1) − (x) ] 

= (x² + 1 + x)(x² + 1 − x) 

= (x² + x + 1)(x² − x + 1) 

Hope this helps 
Bye !!