(x²-6x)(x²-6x+18)+81因式分解,_数学解答

(x²-6x)(x²-6x+18)+81因式分解,

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解答

(x²-6x)(x²-6x+18)+81
=(x²-6x+9 -9)(x²-6x+9 +9)+81
=(x²-6x+9)²-9²+81
=(x²-6x+9)²
=((x-3)²)²
=(x-3)^4