Question

Hey! Can you tell me the SHORTEST method to find its answer quickly and Correctly.​

Answer 1

x⁴+1/x⁴ +1

= x⁴+1/x⁴+2 - 2 + 1

= {(x²)²+2.x².1/x²+(1/x²)²} - 1

= (x²+1/x²)² - (1)²

= ( x²+1/x² + 1) ( x²+1/x² - 1)

= ( x²+1/x² - 1) ( x²+1/x² + 1)

= ( x²+1/x² - 1) ( x²+1/x² +2 - 1)

= ( x²+1/x² - 1) [ {(x)²+2.x. 1/x+(1/x)²} - (1)²]

= ( x²+1/x² - 1) ( x +1/x +1) ( x +1/x - 1 )