Choose one of the factors of 1331x³ - 8y³.
4, 11x - 2y, 121x² + 44xy + 4y², 121x² - 22xy + 4y²

Solution:

1331x³ - 8y³ can be rewritten as :

(11x)³ - (2y)³

This is a cubic equation which can be factored as:

(11x)³ - (2y)³

= (11x - 2y) (121x² + 22xy + 4y²)

Hence the two factors are 11x - 2y and 121x² + 22xy + 4y².

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 1331x³ - 8y³.

Summary:

One of the factors of 1331x³ - 8y³ are 11x - 2y and 121x² + 22xy + 4y². The answer however is 11x - 2y.