Question

Find the continued product of (x-1) (x+1) (x2+1) (x4+1)

Answer 1

( {x}^{2} - 1)(14x+ 1)
= 14 {x}^{3 } + {x}^{2} - 14x - 1

Answer 2

using identity a²-b²=(a+b)(a-b)
(x²-1²)(x²+1){(x²)²+1}
(x²-1²)(x²+1²){(x²)²+1)
using identity a²-b²=(a+b)(a-b)
{(x²)²-1²}{(x²)²+1²}
(x⁴-1)(x⁴+1)
using identity a²-b²=(a+b)(a-b)
{(x⁴)²-1²}
(x^8 -1)
this is ur answer
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