Solve 5left(3t-4right)-t^2+2-2left(t-3right)

$$5 \left( 3t-4 \right) - { t }^{ 2 } +2-2 \left( t-3 \right)$$

Evaluate

$$\left(1-t\right)\left(t-12\right)$$

Solution Steps

Use the distributive property to multiply 5 by 3t-4.

$$15t-20-t^{2}+2-2\left(t-3\right)$$

Add -20 and 2 to get -18.

$$15t-18-t^{2}-2\left(t-3\right)$$

Use the distributive property to multiply -2 by t-3.

$$15t-18-t^{2}-2t+6$$

Combine 15t and -2t to get 13t.

$$13t-18-t^{2}+6$$

Add -18 and 6 to get -12.

$$13t-12-t^{2}$$

Expand

$$-t^{2}+13t-12$$

Solution Steps

Use the distributive property to multiply 5 by 3t-4.

$$15t-20-t^{2}+2-2\left(t-3\right)$$

Add -20 and 2 to get -18.

$$15t-18-t^{2}-2\left(t-3\right)$$

Use the distributive property to multiply -2 by t-3.

$$15t-18-t^{2}-2t+6$$

Combine 15t and -2t to get 13t.

$$13t-18-t^{2}+6$$

Add -18 and 6 to get -12.

$$13t-12-t^{2}$$