Solve 18t^{3}+17t^2-2t^3-7t^2+3t^2=

$$18 t ^ { 3 } + 17 t ^ { 2 } - 2 t ^ { 3 } - 7 t ^ { 2 } + 3 t ^ { 2 } =$$

Evaluate

$$\left(16t+13\right)t^{2}$$

Solution Steps

Combine 18t^{3} and -2t^{3} to get 16t^{3}.

$$16t^{3}+17t^{2}-7t^{2}+3t^{2}$$

Combine 17t^{2} and -7t^{2} to get 10t^{2}.

$$16t^{3}+10t^{2}+3t^{2}$$

Combine 10t^{2} and 3t^{2} to get 13t^{2}.

$$16t^{3}+13t^{2}$$

Factor

$$\left(16t+13\right)t^{2}$$

Solution Steps

Factor out t^{2}.

$$t^{2}\left(16t+13\right)$$

Consider 18t+17-2t-7+3. Multiply and combine like terms.

$$16t+13$$

Rewrite the complete factored expression.

$$t^{2}\left(16t+13\right)$$