Solve d(t)=1/300(t^3-36t^2+324t-5700)

$$d ( t ) = \frac { 1 } { 300 } ( t ^ { 3 } - 36 t ^ { 2 } + 324 t - 5700 )$$

Evaluate

$$\frac{t^{3}}{300}-\frac{3t^{2}}{25}+\frac{27t}{25}-19$$

Solution Steps

Use the distributive property to multiply \frac{1}{300} by t^{3}-36t^{2}+324t-5700.

$$\frac{1}{300}t^{3}-\frac{3}{25}t^{2}+\frac{27}{25}t-19$$

Expand

$$\frac{t^{3}}{300}-\frac{3t^{2}}{25}+\frac{27t}{25}-19$$

Solution Steps

Use the distributive property to multiply \frac{1}{300} by t^{3}-36t^{2}+324t-5700.

$$\frac{1}{300}t^{3}-\frac{3}{25}t^{2}+\frac{27}{25}t-19$$