Question

(x²+1/x²)(x²-1/x²) ,Use suitable identities to find the given product.

Answer 1

here use the identity (a^2-b^2)=(a+b)*(a-b)
$use \: identity \: ( {x}^{2} - {y}^{2}) \\ ( { {x}^{2}) }^{2} - { (\frac{1}{ {x}^{2} } )}^{2} \\ {x}^{4} - \frac{1}{ {x}^{4} }$
hope it will help u

Answer 2

Solution :

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We know the algebraic identity :

( a + b )( a - b ) = a² - b²

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Now ,

( x² + 1/x² )( x² - 1/x² )

= ( x² )² - ( 1/x² )²

= x⁴ - 1/x⁴

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