>>38
m^2-(n+4)m+n+3=(m+n+4)(m-1) …たすきがけを使うまでもない

(a-b)^3 + (b-c)^3 + (c-a)^3=a^3-3a^2b+3ab^2-b^3+b^3-3b^2c+3bc^2-c^3+c^3-3c^2a+3ca^2-a^3
                 =-3(b-c)a^2+3(b+c)(b-c)a-3bc(b-c)
                 =-3(b-c){a^2-(b+c)a+bc}
                 =-3(b-c)(a-b)(a-c)
                 =3(a-b)(b-c)(c-a)