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

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

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

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

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