Question

13. Find the continued product:
(i) (x + 1)(x - 1)(x2 +1)​

Answer 1

$(x + 1)(x - 1)( {x}^{2} + 1) \\ x(x - 1) + 1(x - 1)( {x}^{2} + 1) \\ ( {x}^{2} - x + x - 1)( {x}^{2} + 1) \\ ( {x}^{2} - 1)( {x}^{2} + 1) \\ {x}^{2} ( {x}^{2} + 1)- 1( {x}^{2} + 1) \\ {x}^{4} + {x}^{2} - {x}^{2} - 1 \\ {x}^{4} - 1 \: \: \: \: is \: the \: answer$