Question

3. Efectúa :
E =(x+1)(x-1)(x2+1)(x*+1)(x8+1) -x16​

Answer 1

Respuesta:

$y= (x + 1)(x - 1)( {x}^{2} + 1)( {x}^{4} + 1)( {x}^{8} + 1) - {x }^{16} \\ y = ( {x}^{2} - 1)( {x}^{2} + 1)( {x}^{4} + 1)( {x}^{8} + 1) - {x}^{16} \\ y = ( {x}^{4} - 1)( {x}^{4} + 1)( {x}^{8} + 1) - {x}^{16} \\ y = ( {x}^{8} - 1)( {x}^{8} + 1 ) - {x}^{16} \\ y = {x}^{16} - 1 - {x}^{16} \\ y = - 1$

Formula :

$( {x}^{2} - {y}^{2} ) = (x - y)(x + y)$

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