Solve 5m^3+320

$$5 m ^ { 3 } + 320$$

Factor

$$5\left(m+4\right)\left(m^{2}-4m+16\right)$$

Solution Steps

Factor out 5.

$$5\left(m^{3}+64\right)$$

Consider m^{3}+64. Rewrite m^{3}+64 as m^{3}+4^{3}. The sum of cubes can be factored using the rule: a^{3}+b^{3}=\left(a+b\right)\left(a^{2}-ab+b^{2}\right).

$$\left(m+4\right)\left(m^{2}-4m+16\right)$$

Rewrite the complete factored expression. Polynomial m^{2}-4m+16 is not factored since it does not have any rational roots.

$$5\left(m+4\right)\left(m^{2}-4m+16\right)$$

Evaluate

$$5\left(m^{3}+64\right)$$