因式分解:a^n+2-18a^n+81a^n-2(n>2且n为整数)

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因式分解:a^n+2-18a^n+81a^n-2(n>2且n为整数)因式分解:a^n+2-18a^n+81a^n-2(n>2且n为整数)因式分解:a^n+2-18a^n+81a^n-2(n>2且n为整

因式分解:a^n+2-18a^n+81a^n-2(n>2且n为整数)
因式分解:a^n+2-18a^n+81a^n-2(n>2且n为整数)

因式分解:a^n+2-18a^n+81a^n-2(n>2且n为整数)
a^n+2-18a^n+81a^n-2 =a^(n-2)(a^4-18a^2+81) =a^(n-2)(a^2-9) =a^(n-2)(a+3)(a-3)