因式分解:(a^2-4a)^2+(3a-12)^2

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因式分解:(a^2-4a)^2+(3a-12)^2

因式分解:(a^2-4a)^2+(3a-12)^2
因式分解:(a^2-4a)^2+(3a-12)^2

因式分解:(a^2-4a)^2+(3a-12)^2
(a^2-4a)^2+(3a-12)^2
=a^2(a-4)^2+9(a-4)^2
=(a-4)^2(a^2+9)

(a^2-4a)^2+(3a-12)^2
=2a^-2a-12
=2(a^-a-6)
=2(a+2)(a-3)

(a^2-4a)^2+(3a-12)^2
=(a^2-4a)(a^2-4a)+(3a-12)(3a-12)
=a^2(a-4)^2+9(a-4)^2
=(a-4)^2(a^2+9)