Question

因式分解m十五次方+m十二次方+m九次方+m六次方+m三次方+1

Answer 1

m^15+m^12+m^9+m^6+m^3+1

=(m^15+m^12)+(m^9+m^6)+(m^3+1)

=m^12(m^3+1)+m^6(m^3+1)+(m^3+1)

=(m^12+m^6+1)(m^3+1)

=(m^12+m^6+1)(m+1)(m^2-m+1)