作业帮因式分解x^15+x^12+x^9+x^6+x^3+1
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因式分解x^15+x^12+x^9+x^6+x^3+1
因式分解x^15+x^12+x^9+x^6+x^3+1
因式分解x^15+x^12+x^9+x^6+x^3+1
x^15+x^12+x^9+x^6+x^3+1
=x^12(x³+1)+x^6(x³+1)+(x³+1)
=(x^12+x^6+1)(x³+1)
=(x^12+x^6+1)(x+1)(x²-x+1)
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x^15+x^12+x^9+x^6+x^3+1
=x^12*(x^3+1)+x^6*(x^3+1)+(x^3+1)
=(x^3+1)(x^12+x^6+1)
x^15+x^12+x^9+x^6+x^3+1
=x^12(x^3+1)+x^6(x^3+1)+x^3+1
=(x^12+x^6+1)(x^3+1)
=(x+1)(x^2-x+1)(x^12+x^6+1)