Question

$find \: the \: continued \: product \: (a + 1) \: (a - 1) \: (a {}^{2} + 1)$

Answer 1

Hi ,

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We know the algebraic identity

( x + y ) ( x - y ) = x² - y²

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Product of ( a + 1 ) ( a - 1 ) ( a² + 1 )

= ( a² - 1² ) ( a² + 1 )

= ( a² )² - ( 1 ² )²

= a⁴ - 1

I hope this helps you.

:)