因式分解 3(x-1)^2-18(x-1)+27

问题描述:

因式分解 3(x-1)^2-18(x-1)+27

3(x-1)^2-18(x-1)+27
=3[(x-1)^2-6(x-1)+9]
=3[(x-1)-3]^2
=3(x-4)^2

原式=3[(x-1)²-6(x-1)+9]
=3(x-1-3)²
=3(x-4)²