Accedmychevron_right11thchevron_rightmathchevron_rightPartial Fractionschevron_rightExercise 5.2

Identity

a3+b3=(a+b)(a2ab+b2)a^3+b^3=(a+b)(a^2-ab+b^2)

So:

x3+1=(x+1)(x2x+1)x^3+1=(x+1)(x^2-x+1)