(m-n)^3+(2m+3n)^3的因式分解

问题描述:

(m-n)^3+(2m+3n)^3的因式分解

(m-n)^3+(2m+3n)^3
=(m-n+2m+3n)(m^2+n^2-2mn+4m^2+9n^2+12mn-2m^2-mn+3n^2)
=(3m+2n)(3m^2+9mn+13n^2)