Solve 4y(3-y)+(3-y)(1+2y)

$$4 y ( 3 - y ) + ( 3 - y ) ( 1 + 2 y )$$

Evaluate

$$\left(3-y\right)\left(6y+1\right)$$

Solution Steps

Use the distributive property to multiply 4y by 3-y.

$$12y-4y^{2}+\left(3-y\right)\left(1+2y\right)$$

Apply the distributive property by multiplying each term of 3-y by each term of 1+2y.

$$12y-4y^{2}+3+6y-y-2y^{2}$$

Combine 6y and -y to get 5y.

$$12y-4y^{2}+3+5y-2y^{2}$$

Combine 12y and 5y to get 17y.

$$17y-4y^{2}+3-2y^{2}$$

Combine -4y^{2} and -2y^{2} to get -6y^{2}.

$$17y-6y^{2}+3$$

Expand

$$3+17y-6y^{2}$$

Solution Steps

Use the distributive property to multiply 4y by 3-y.

$$12y-4y^{2}+\left(3-y\right)\left(1+2y\right)$$

Apply the distributive property by multiplying each term of 3-y by each term of 1+2y.

$$12y-4y^{2}+3+6y-y-2y^{2}$$

Combine 6y and -y to get 5y.

$$12y-4y^{2}+3+5y-2y^{2}$$

Combine 12y and 5y to get 17y.

$$17y-4y^{2}+3-2y^{2}$$

Combine -4y^{2} and -2y^{2} to get -6y^{2}.

$$17y-6y^{2}+3$$