[tex]( {a}^{2} - 2a + {a}^{3} )( {a}^{3} + 1) \\ = {a}^{5} - 2 {a}^{4} + {a}^{6} + {a}^{2} - 2a + {a}^{3 } \\ = {a}^{6} + {a}^{5} - 2 {a}^{4} + {a}^{3 } + {a}^{2} - 2a[/tex]
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[tex]( {a}^{2} - 2a + {a}^{3} )( {a}^{3} + 1) \\ = {a}^{5} - 2 {a}^{4} + {a}^{6} + {a}^{2} - 2a + {a}^{3 } \\ = {a}^{6} + {a}^{5} - 2 {a}^{4} + {a}^{3 } + {a}^{2} - 2a[/tex]