Solve (-t^3+5t^2-6t)+(8t^2-8t)

$$( - t ^ { 3 } + 5 t ^ { 2 } - 6 t ) + ( 8 t ^ { 2 } - 8 t )$$

Evaluate

$$t\left(-t^{2}+13t-14\right)$$

Solution Steps

Combine 5t^{2} and 8t^{2} to get 13t^{2}.

$$-t^{3}+13t^{2}-6t-8t$$

Combine -6t and -8t to get -14t.

$$-t^{3}+13t^{2}-14t$$

Factor

$$-t\left(t-\frac{13-\sqrt{113}}{2}\right)\left(t-\frac{\sqrt{113}+13}{2}\right)$$