Question

simplify ( x^3 +x^2 +1 ) (x^3 -x^2 + 1)​

Answer 1

$( {x}^{3} + {x}^{2} + 1)( {x}^{3} - {x}^{2} + 1) \\ {x}^{3} ( {x}^{3} - {x}^{2} + 1) + {x}^{2} ( {x}^{3} - {x}^{2} + 1) + 1( {x}^{3} - {x}^{2} + 1) \\ {x}^{6} - {x}^{5} + {x}^{3} + {x}^{5} - {x}^{4} + {x}^{2} + {x}^{3} - {x}^{2} + 1 \\ = {x}^{6} - {x}^{4} + 2 {x}^{3} + 1$

Hope it helps you.