a^3-3a^2+3a-1因式分解

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a^3-3a^2+3a-1因式分解
a^3-3a^2+3a-1因式分解

a^3-3a^2+3a-1因式分解
a^3-3a^2+3a-1
=(a³-1)-(3a²-3a)
=(a-1)(a²+a+1)-3a(a-1)
=(a-1)(a²+a+1-3a)
=(a-1)(a²-2a+1)
=(a-1)(a-1)²
=(a-1)³

(a-1)^3

a^3-3a^2+3a-1
=(a^3-1)-(3a^3-3a)
=(a-1)(a^2+a+1)-3a(a-1)
=(a-1)(a^2+a+1-3a)
=(a-1)(a&^2-2a+1)
=(a-1)(a-1)^2
=(a-1)^3
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