Solve 20/3*(120^3-20^3)

$$\frac { 20 } { 3 } \times ( 120 ^ { 3 } - 20 ^ { 3 } )$$

Evaluate

$$\frac{34400000}{3}\approx 11466666.666666667$$

Solution Steps

Calculate 120 to the power of 3 and get 1728000.

$$\frac{20}{3}\left(1728000-20^{3}\right)$$

Calculate 20 to the power of 3 and get 8000.

$$\frac{20}{3}\left(1728000-8000\right)$$

Subtract 8000 from 1728000 to get 1720000.

$$\frac{20}{3}\times 1720000$$

Express \frac{20}{3}\times 1720000 as a single fraction.

$$\frac{20\times 1720000}{3}$$

Multiply 20 and 1720000 to get 34400000.

$$\frac{34400000}{3}$$

Factor

$$\frac{2 ^ {8} \cdot 5 ^ {5} \cdot 43}{3} = 11466666\frac{2}{3} = 11466666.666666666$$