求因式分解解题过程a^(n+2)-18a^n+81a^(n-2)=

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求因式分解解题过程a^(n+2)-18a^n+81a^(n-2)=求因式分解解题过程a^(n+2)-18a^n+81a^(n-2)=求因式分解解题过程a^(n+2)-18a^n+81a^(n-2)=a

求因式分解解题过程a^(n+2)-18a^n+81a^(n-2)=
求因式分解解题过程a^(n+2)-18a^n+81a^(n-2)=

求因式分解解题过程a^(n+2)-18a^n+81a^(n-2)=
a^(n+2)-18a^n+81a^(n-2)
=a^(n-2)*(a^4-18a^2+81)
=a^(n-2)*[(a^2-9)]^2

a^(n+2)-18a^n+81a^(n-2)
=a^n(a^2-18+81a^-2)
=a^n(a+9/a)(a-9/a)