Question

Find the product using suitable identity (x+1/2)(x-1/2)(x^2+1/x^2)(x^4+1/x^4)

Answer 1

Given -

Evaluate the following product using suitable identity .

( x + ½ )( x - ½ )( x² + 1 / x² )

Solution -

Identity Used -

( a + b )( a - b ) = a² - b²

Using that identity -

( x + ½ )( x - ½ )( x² + 1 / x² )

=> ( x² - ¼ )( x² + 1 / x² )

=> x⁴ + 1 - ( x² / 4 ) - ( 1 / 4 x² )

This is the final answer .

Additional Information -

( a + b )( a - b ) = a² - b²

( a + b )² = a² + 2ab + b²

( a - b ) ² = a² - 2ab + b²

_________________

Answer 2

Answer:

don't know so sorry for this