Question

find the product of
$(x - \frac{1}{x} ) \times (x + \frac{1}{x}) \times ( {x }^{2} + \frac{1}{ {x}^{2} } ) \times ( {x}^{4} + \frac{1}{ {x}^{4} } )$

Answer 1

[0010001111]... Hello User... [1001010101]
Here's your answer...

Here, we will use the formula...
(a+b)(a-b) = a²-b²

$(x - \frac{1}{x} )(x + \frac{1}{x} )( {x}^{2} + \frac{1}{ {x}^{2} } )( {x}^{4} + \frac{1}{ {x}^{4} } ) \\ = ( {x}^{2} - \frac{1}{ {x}^{2} } )( {x}^{2} + \frac{1}{ {x}^{2} } )( {x}^{4} + \frac{1}{ {x}^{4} } ) \\ = ( {x}^{4} - \frac{1}{ {x}^{4} } )( {x}^{4} + \frac{1}{ {x}^{4} } ) \\ = {x}^{8} - \frac{1}{ {x}^{8} }$

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