Solve (y+4)(3y-1)(4y-3)

$$( y + 4 ) ( 3 y - 1 ) ( 4 y - 3 )$$

Evaluate

$$\left(3y-1\right)\left(4y-3\right)\left(y+4\right)$$

Solution Steps

Apply the distributive property by multiplying each term of y+4 by each term of 3y-1.

$$\left(3y^{2}-y+12y-4\right)\left(4y-3\right)$$

Combine -y and 12y to get 11y.

$$\left(3y^{2}+11y-4\right)\left(4y-3\right)$$

Apply the distributive property by multiplying each term of 3y^{2}+11y-4 by each term of 4y-3.

$$12y^{3}-9y^{2}+44y^{2}-33y-16y+12$$

Combine -9y^{2} and 44y^{2} to get 35y^{2}.

$$12y^{3}+35y^{2}-33y-16y+12$$

Combine -33y and -16y to get -49y.

$$12y^{3}+35y^{2}-49y+12$$

Expand

$$12y^{3}+35y^{2}-49y+12$$

Solution Steps

Apply the distributive property by multiplying each term of y+4 by each term of 3y-1.

$$\left(3y^{2}-y+12y-4\right)\left(4y-3\right)$$

Combine -y and 12y to get 11y.

$$\left(3y^{2}+11y-4\right)\left(4y-3\right)$$

Apply the distributive property by multiplying each term of 3y^{2}+11y-4 by each term of 4y-3.

$$12y^{3}-9y^{2}+44y^{2}-33y-16y+12$$

Combine -9y^{2} and 44y^{2} to get 35y^{2}.

$$12y^{3}+35y^{2}-33y-16y+12$$

Combine -33y and -16y to get -49y.

$$12y^{3}+35y^{2}-49y+12$$