Answers

  • Brainly User
2015-01-31T12:19:30+05:30
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) 
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