Solve f(t)=3(t-1)(t+2)

$$f ( t ) = 3 ( t - 1 ) ( t + 2 )$$

Evaluate

$$3\left(t-1\right)\left(t+2\right)$$

Solution Steps

Use the distributive property to multiply 3 by t-1.

$$\left(3t-3\right)\left(t+2\right)$$

Apply the distributive property by multiplying each term of 3t-3 by each term of t+2.

$$3t^{2}+6t-3t-6$$

Combine 6t and -3t to get 3t.

$$3t^{2}+3t-6$$

Expand

$$3t^{2}+3t-6$$

Solution Steps

Use the distributive property to multiply 3 by t-1.

$$\left(3t-3\right)\left(t+2\right)$$

Apply the distributive property by multiplying each term of 3t-3 by each term of t+2.

$$3t^{2}+6t-3t-6$$

Combine 6t and -3t to get 3t.

$$3t^{2}+3t-6$$