Answer:
[tex]{x}^ {3} + 3 {x}^{2} + 3x + 2[/tex]
Step-by-step explanation:
Expand
[tex](x + 2)( {x}^{2} + x + 1)[/tex]
[tex] = (x)( {x}^{2} ) + (x)(x) + (x)(1) + (2)( {x}^{2} ) + (2)(x) + (2)(1)[/tex]
[tex] = {x}^{3} + {x}^{2} + x + 2 {x}^{2} + 2x + 2[/tex]
Combine like terms
[tex] = {x}^ {3} + 3 {x}^{2} + 3x + 2[/tex]
