因式分解a^3-5a^2+5a-4

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因式分解a^3-5a^2+5a-4

因式分解a^3-5a^2+5a-4
因式分解a^3-5a^2+5a-4

因式分解a^3-5a^2+5a-4
a^3-5a^2+5a-4
=a^3-5a^3+4a+a-4
=a(a^2-5a+4)+a-4
=a(a-1)(a-4)+(a-4)
=(a-4)(a^2-a+1)

(a-4)*(a^2-a+1)

=a^3-1-5a(a-1)-3
=(a-1)(a^2+a+1)-5a(a-1)-3
=(a-1)(a^2-4a+1)-3
=(a-1)【(a-2)^2-3】-3