Question

find the following products : (x^3+1)(x^6-x^3+1)​

Answer 1

Answer:

${x}^{9} + 1$

Step-by-step explanation:

$( {x}^{3} + 1)( {x}^{6} - {x}^{3} + 1) \\ {x}^{3} ( {x}^{6} - {x}^{3} + 1) + 1( {x}^{6} - {x}^{3} + 1) \\ {x}^{3 + 6} - {x}^{3 + 3} + {x}^{3} + {x}^{6} - {x}^{3} + 1 \\ {x}^{9} - {x}^{6} + {x}^{3} + {x}^{6} - {x}^{3} + 1 \\ {x}^{9} + 1$