Solve (-5t^3)(-4t^2-t)-(8t^2+t)=

$$( - 5 t ^ { 3 } ) ( - 4 t ^ { 2 } - t ) - ( 8 t ^ { 2 } + t ) =$$

Evaluate

$$t\left(20t^{4}+5t^{3}-8t-1\right)$$

Solution Steps

Use the distributive property to multiply -5t^{3} by -4t^{2}-t.

$$20t^{5}+5t^{4}-\left(8t^{2}+t\right)$$

To find the opposite of 8t^{2}+t, find the opposite of each term.

$$20t^{5}+5t^{4}-8t^{2}-t$$

Expand

$$20t^{5}+5t^{4}-8t^{2}-t$$

Solution Steps

Use the distributive property to multiply -5t^{3} by -4t^{2}-t.

$$20t^{5}+5t^{4}-\left(8t^{2}+t\right)$$

To find the opposite of 8t^{2}+t, find the opposite of each term.

$$20t^{5}+5t^{4}-8t^{2}-t$$