Question

find the product (x-1)(x+1)(x²+1)(x⁴+1)

Answer 1

Hi Friend !!!

Here is ur answer !!!

(x-1)(x+1)(x²+1)(x^4 + 1)

= (x²-1)(x²+1)(x^4 + 1)

=( x^4 -1)(x^4 + 1)

=( x^8 -1)


The whole is with the help of (a-b) (a+b) = a²-b²


Hope it helps u :-)

Answer 2

$(x - 1)(x + 1)( {x}^{2} + 1)( {x}^{4} + 1) \\ ({x }^{2} + x - x - 1)( {x}^{6} + {x}^{2} + {x}^{4} + 1) \\( {x}^{2} - 1)( {x}^{6} + {x}^{2} + {x}^{4} ) \\ {x}^{8} + {x}^{4} + {x}^{6} - {x}^{6} - {x}^{2} - {x}^{4} \\ {x}^{6}$