Question

factorise the following term : x⁴+x²+1​

Answer 1

Answer:

Step-by-step explanation:

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)  

plz mark as brainliest