Solve =24t+3t^2*-t^3

$$= 24 t + 3 t ^ { 2 } \cdot - t ^ { 3 }$$

Evaluate

$$24t-3t^{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$24t+3t^{5}\left(-1\right)$$

Multiply 3 and -1 to get -3.

$$24t-3t^{5}$$

Factor

$$3t\left(8-t^{4}\right)$$

Solution Steps

Factor out 3.

$$3\left(8t-t^{2}t^{3}\right)$$

Consider 8t-t^{5}. Factor out t.

$$t\left(8-t^{4}\right)$$

Rewrite the complete factored expression. Polynomial 8-t^{4} is not factored since it does not have any rational roots.

$$3t\left(8-t^{4}\right)$$