=x^3(x^2+x+1)+(x^2+x+1)
=(x^2+x+1)(x^3+1)
=(x^2+x+1)(x+1)(x^2-x+1)
\(x^5+x^4+x^3+x^2+x+1\)
\(=\left(x^5+x^4\right)+\left(x^3+x^2\right)+\left(x+1\right)\)
\(=x^4\left(x+1\right)+x^2\left(x+1\right)+\left(x+1\right)\)
\(=\left(x+1\right)\left(x^4+x^2+1\right)\)
#Toru