Solve (3t-1)(t+1)(t-9)

$$( 3 t - 1 ) ( t + 1 ) ( t - 9 )$$

Evaluate

$$\left(t-9\right)\left(3t-1\right)\left(t+1\right)$$

Solution Steps

Apply the distributive property by multiplying each term of 3t-1 by each term of t+1.

$$\left(3t^{2}+3t-t-1\right)\left(t-9\right)$$

Combine 3t and -t to get 2t.

$$\left(3t^{2}+2t-1\right)\left(t-9\right)$$

Apply the distributive property by multiplying each term of 3t^{2}+2t-1 by each term of t-9.

$$3t^{3}-27t^{2}+2t^{2}-18t-t+9$$

Combine -27t^{2} and 2t^{2} to get -25t^{2}.

$$3t^{3}-25t^{2}-18t-t+9$$

Combine -18t and -t to get -19t.

$$3t^{3}-25t^{2}-19t+9$$

Expand

$$3t^{3}-25t^{2}-19t+9$$

Solution Steps

Apply the distributive property by multiplying each term of 3t-1 by each term of t+1.

$$\left(3t^{2}+3t-t-1\right)\left(t-9\right)$$

Combine 3t and -t to get 2t.

$$\left(3t^{2}+2t-1\right)\left(t-9\right)$$

Apply the distributive property by multiplying each term of 3t^{2}+2t-1 by each term of t-9.

$$3t^{3}-27t^{2}+2t^{2}-18t-t+9$$

Combine -27t^{2} and 2t^{2} to get -25t^{2}.

$$3t^{3}-25t^{2}-18t-t+9$$

Combine -18t and -t to get -19t.

$$3t^{3}-25t^{2}-19t+9$$