# How do you simplify 6^3 - 9^3?

Sep 30, 2015

${6}^{3} - {9}^{3} = - 513$

#### Explanation:

You could factor out a ${3}^{3}$ from each term, but in the long run I think it is simpler to just do the arithmetic:

${6}^{3} = 6 \times 6 \times 6 = 36 \times 6 = 216$

${9}^{3} = 9 \times 9 \times 9 = 81 \times 9 = 729$

${6}^{3} - {9}^{3} = 216 - 729 = - 513$