Explications étape par étape:
[tex]p1 \times p2 \\ = ( {x}^{3} + 3 {x}^{2} - 3)( {x}^{3} - 4 {x}^{2} ) \\ = {x}^{3} ( {x}^{3} - 4 {x}^{2} ) + 3 {x}^{2} ( {x}^{3} - 4 {x}^{2} ) - 3( {x}^{3} - 4 {x}^{2} ) \\ = {x}^{6 } - 4 {x}^{5} + 3 {x}^{5} - 12 {x}^{4} - 3 {x}^{3} + 12{x}^{2} \\ = {x}^{6} - {x}^{5} - 12 {x}^{4} - 3 {x}^{3} + 12 {x}^{2} [/tex]
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Explications étape par étape:
[tex]p1 \times p2 \\ = ( {x}^{3} + 3 {x}^{2} - 3)( {x}^{3} - 4 {x}^{2} ) \\ = {x}^{3} ( {x}^{3} - 4 {x}^{2} ) + 3 {x}^{2} ( {x}^{3} - 4 {x}^{2} ) - 3( {x}^{3} - 4 {x}^{2} ) \\ = {x}^{6 } - 4 {x}^{5} + 3 {x}^{5} - 12 {x}^{4} - 3 {x}^{3} + 12{x}^{2} \\ = {x}^{6} - {x}^{5} - 12 {x}^{4} - 3 {x}^{3} + 12 {x}^{2} [/tex]