Solve =y(3-y)(2+y)

$$= y ( 3 - y ) ( 2 + y )$$

Evaluate

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

Solution Steps

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

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

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

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

Combine 3y^{2} and -2y^{2} to get y^{2}.

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

Expand

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

Solution Steps

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

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

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

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

Combine 3y^{2} and -2y^{2} to get y^{2}.

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