因式分解:2a(a-3)^2 - 6a^2 (3-a) + 8a(a-3)

问题描述:

因式分解:2a(a-3)^2 - 6a^2 (3-a) + 8a(a-3)

2a(a-3)²-6a²(3-a)+8a(a-3)
=2a(a-3)²+6a²(a-3)+8a(a-3)
=2a(a-3)[(a-3)+3a+4]
=2a(a-3)(a-3+3a+4)
=2a(a-3)(4a+1)

2a(4a-1)(a-3)

2a(a-3)^2 - 6a^2 (3-a) + 8a(a-3)
=2a(a-3)(a-3+3a+4)
=2a(a-3)(4a+1)

2a(a-3)^2 - 6a^2 (3-a) + 8a(a-3)
=2a(a^2-6a+9)-18a^2-6a^3+8a^2-24a
=2a^3-12a^2+18a-18a^2-6a^3+8a^2-24a
=-4a^3-22a^2-6a