Solve (r-6)(12r-3)(r+3)

$$( r - 6 ) ( 12 r - 3 ) ( r + 3 )$$

Evaluate

$$3\left(r-6\right)\left(4r-1\right)\left(r+3\right)$$

Solution Steps

Apply the distributive property by multiplying each term of r-6 by each term of 12r-3.

$$\left(12r^{2}-3r-72r+18\right)\left(r+3\right)$$

Combine -3r and -72r to get -75r.

$$\left(12r^{2}-75r+18\right)\left(r+3\right)$$

Apply the distributive property by multiplying each term of 12r^{2}-75r+18 by each term of r+3.

$$12r^{3}+36r^{2}-75r^{2}-225r+18r+54$$

Combine 36r^{2} and -75r^{2} to get -39r^{2}.

$$12r^{3}-39r^{2}-225r+18r+54$$

Combine -225r and 18r to get -207r.

$$12r^{3}-39r^{2}-207r+54$$

Expand

$$12r^{3}-39r^{2}-207r+54$$

Solution Steps

Apply the distributive property by multiplying each term of r-6 by each term of 12r-3.

$$\left(12r^{2}-3r-72r+18\right)\left(r+3\right)$$

Combine -3r and -72r to get -75r.

$$\left(12r^{2}-75r+18\right)\left(r+3\right)$$

Apply the distributive property by multiplying each term of 12r^{2}-75r+18 by each term of r+3.

$$12r^{3}+36r^{2}-75r^{2}-225r+18r+54$$

Combine 36r^{2} and -75r^{2} to get -39r^{2}.

$$12r^{3}-39r^{2}-225r+18r+54$$

Combine -225r and 18r to get -207r.

$$12r^{3}-39r^{2}-207r+54$$