Question

find the product using identity(x^2-1)×(x^4+x^2+1)

Answer 1

(x²-1)(x⁴+x²+1)
= (x²-1)(x⁴) + (x²-1)(x²+1)
= x^6 - x⁴ + x⁴ -1
= x^6 - 1
=(x³+1)(x³-1)

Answer 2

Answer:

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

$= {x}^{4} ( {x}^{2} - 1) + {x}^{2} ( {x}^{2} - 1) + 1( {x}^{2} - 1)$

$= {x}^{6} - {x}^{4} + {x}^{4} - {x}^{2} + {x}^{2} - 1$

$= {x}^{6} - 1$

$= ({x}^{3}- 1)({x}^{3}+1)$

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