设m^2+8m+15=t
则原式=t(t-8)+15
=t²-8t+15
=(t-3)(t-5)
=(m^2+8m+15-3)(m^2+8m+15-5)
=(m^2+8m+12)(m^2+8m+10)
=(m+2)(m+6)(m^2+8m+10)