(x²-6x)(x²-6x+18)+81因式分解,

(x²-6x)(x²-6x+18)+81因式分解,
(x²-6x)(x²-6x+18)+81因式分解,

(x²-6x)(x²-6x+18)+81因式分解,
(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

(x²-6x)(x²-6x+18)+81
=(x²-6x+9 -9)(x²-6x+9 +9)+81（为了配成完全平方公式）
=(x²-6x+9)²-9²+81
=(x²-6x+9)²
=((x-3)²)²
=(x-3)^4
引用楼上的 不好意思