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1 câu trả lời 133
Cách 1: Khai triển tích:
A . B = (6x3 - 4x2 - 12x - 7) . (2x2 - 7)
= 6x3 . 2x2 - 4x2 . 2x2 - 12x . 2x2 - 7 . 2x2 – 7 . 6x3 + 7 . 4x2 + 7 . 12x + 7 . 7
= 12x5 - 8x4 - 24x3 -14x2 - 42x3 + 28x2 + 84x + 49
= 12x5 - 8x4 - 66x3 + 14x2 + 84x + 49.
Cách 2: Đặt tính nhân:
\[\begin{array}{l} \times \underline {\begin{array}{*{20}{c}}\begin{array}{l}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,6{{\rm{x}}^3}\\\end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l} - \\\end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l}4{{\rm{x}}^2}\\\end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l} - \\\end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l}12{\rm{x}}\\2{{\rm{x}}^2}\end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l} - \\ - \end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l}7\\7\end{array}\end{array}\,\,\,\,\,\,\,} \,\,\,\,\,\\\underline { + \begin{array}{*{20}{c}}\begin{array}{l}\\\begin{array}{*{20}{c}}{12{{\rm{x}}^5}}\end{array}\end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l}\\ - \end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l}\\8{{\rm{x}}^4}\end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l} - \\ - \end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l}42{{\rm{x}}^3}\\24{{\rm{x}}^3}\end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l} + \\ - \end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l}28{{\rm{x}}^2}\\14{{\rm{x}}^2}\end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l} + \\\begin{array}{*{20}{c}}{}\end{array}\end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l}84{\rm{x}}\\\end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l} + \\\end{array}\end{array}\begin{array}{*{20}{c}}\begin{array}{l}49\,\,\,\\\end{array}\end{array}} \\\,\,\,12{{\rm{x}}^5} - 8{{\rm{x}}^4} - 66{{\rm{x}}^3} + 14{{\rm{x}}^2} + 84{\rm{x}} + 49\end{array}\]
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