Thực hiện các phép nhân hai đa thức sau: 5x^3 - 2x^2 + 4x - 4 và x63 + 3x^2 - 5;

Ta đặt tính nhân như sau:

\(\begin{array}{l}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\begin{array}{*{20}{c}}{}\\ \times \\{}\end{array}\,\,\,\,\,\begin{array}{*{20}{c}}{5{x^3} - 2{x^2} + 4x - 4}\\{}\\{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{x^3} + 3{x^2} - 5}\end{array}\\ + \,\,\,\overline \begin{array}{l}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 25{x^3} + 10{x^2} - 20x + 20\\\,\,\,\,\,\,\,\,\,\,\,\,15{x^5} - 6{x^4} + 12{x^3} - 12{x^2}\\5{x^6} - 2{x^5} + 4{x^4} - 4{x^3}\end{array} \\\overline {\,\,\,\,\,\,5{x^6} + 13{x^5} - 2{x^4} - 17{x^3} - 2{x^2} - 20x + 20} \end{array}\)