Solve t^3-16t

$$t ^ { 3 } - 16 t$$

Factor

$$t\left(t-4\right)\left(t+4\right)$$

Solution Steps

Factor out t.

$$t\left(t^{2}-16\right)$$

Consider t^{2}-16. Rewrite t^{2}-16 as t^{2}-4^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(t-4\right)\left(t+4\right)$$

Rewrite the complete factored expression.

$$t\left(t-4\right)\left(t+4\right)$$

Evaluate

$$t\left(t^{2}-16\right)$$