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计算:(8x^n+3+x^n+2)*(-2x^n+3x^n-1)
题目详情
计算:(8x^n+3 + x^n+2) * (-2x^n + 3x^n-1)
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答案和解析
[8x^(n+3) + x^(n+2)] *[-2x^n + 3x^(n-1)]
=8x^(n+3)*(-2x^n)+8x^(n+3)*3x^(n-1)+x^(n+2)*(-2x^n)+x^(n+2)*3x^(n-1)
=-16x^(n+3+n)+24x^(n+3+n-1)-2x^(n+2+n)+3x^(n+2+n-1)
=-16x^(2n+3)+24x^(2n+2)-2x^(2n+2)+3x^(2n+1)
=-16x^(2n+3)+22x^(2n+2)+3x^(2n+1)
=8x^(n+3)*(-2x^n)+8x^(n+3)*3x^(n-1)+x^(n+2)*(-2x^n)+x^(n+2)*3x^(n-1)
=-16x^(n+3+n)+24x^(n+3+n-1)-2x^(n+2+n)+3x^(n+2+n-1)
=-16x^(2n+3)+24x^(2n+2)-2x^(2n+2)+3x^(2n+1)
=-16x^(2n+3)+22x^(2n+2)+3x^(2n+1)
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