Question

Find the product using suitable identity.

Answer 1

x^8-1/x^8 [(a+b )(a -b ) =a^2-b^2]

Answer 2

as we know... (a^2 - b^2) = (a+b)(a-b)
$(x + \frac{1}{x} ) (x - \frac{1}{x} ) = {x}^{2} - \frac{ {1}^{2} }{{x}^{2} }$
$( {x}^{2} + \frac{1}{{x}^{2} } ) \: ( {x}^{2} - \frac{1}{ {x}^{2} } ) = {x}^{4} - \frac{1}{ {x}^{4} }$
$( {x}^{4} - \frac{1}{ { x}^{4} } ) \: ( {x}^{4} + \frac{1}{ {x}^{4} } ) = ( {x}^{8} - \frac{1}{ {x}^{8} } )$