Solve {l}{-4^3+6/5n^3}{+2n^3}

$$\left. \begin{array} { l } { - 4 ^ { 3 } + \frac { 6 } { 5 } n ^ { 3 } } \\ { + 2 n ^ { 3 } } \end{array} \right.$$

Evaluate

$$\frac{16\left(n^{3}-20\right)}{5}$$

Solution Steps

Calculate 4 to the power of 3 and get 64.

$$-64+\frac{6}{5}n^{3}+2n^{3}$$

Combine \frac{6}{5}n^{3} and 2n^{3} to get \frac{16}{5}n^{3}.

$$-64+\frac{16}{5}n^{3}$$

Factor

$$\frac{16\left(n^{3}-20\right)}{5}$$

Solution Steps

Factor out \frac{2}{5}.

$$\frac{2\left(-160+3n^{3}+5n^{3}\right)}{5}$$

Consider -160+3n^{3}+5n^{3}. Multiply and combine like terms.

$$8n^{3}-160$$

Consider 8n^{3}-160. Factor out 8.

$$8\left(n^{3}-20\right)$$

Rewrite the complete factored expression.

$$\frac{16\left(n^{3}-20\right)}{5}$$