# Choose one of the factors of 1331x^{3} - 8y^{3}.

4, 11x - 2y, 121x^{2} + 44xy + 4y^{2}, 121x^{2} - 22xy + 4y^{2}

**Solution:**

1331x^{3} - 8y^{3} can be rewritten as :

(11x)^{3} - (2y)^{3}

This is a cubic equation which can be factored as:

(11x)^{3} - (2y)^{3}

= (11x - 2y) (121x^{2} + 22xy + 4y^{2})

Hence the two factors are 11x - 2y and 121x^{2} + 22xy + 4y^{2}.

Therefore one of the factors which is listed in the choices above is 11x - 2y.

**The second factor is not mentioned in the choices.**

## Choose one of the factors of 1331x^{3} - 8y^{3}.

**Summary:**

One of the factors of 1331x^{3} - 8y^{3 }are 11x - 2y and 121x^{2} + 22xy + 4y^{2}. The answer however is 11x - 2y.