2a(a-3)^2-6a^2(3-a)+8a(a-3)
=2a(a-3)^2+6a^2(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(a-3)^2-6a^2(3-a)+8a(a-3)提取公因式
2a(a-3)^2-6a^2(3-a)+8a(a-3)
=2a(a-3)^2+6a^2(a-3)+8a(a-3)
=2a(a-3)[(a-3)+3a+4]
=2a(a-3)(a-3+3a+4)
=2a(a-3)(4a+1)