求因式分解详解,X的平方减2MX加X加4M减六
问题描述：
求因式分解详解,X的平方减2MX加X加4M减六
答
x^2 - 2mx + x + 4m -6
= x^2 - 2mx + m^2 - m^2 + x + 4m -6
= (x - m)^2 - m^2 + x + 4m -6
= (x - m)^2 - (m^2 - 4m + 4) + x - 2
= (x - m)^2 - (m - 2)^2 + x - 2
= (x - m + m - 2)(x - m - m + 2) + x - 2
= (x - 2)(x - 2m + 2) + x - 2
= (x - 2)(x - 2m + 3)