Solve 3y(y+5)(y+2)

$$3 y ( y + 5 ) ( y + 2 )$$

Evaluate

$$3y\left(y+2\right)\left(y+5\right)$$

Solution Steps

Use the distributive property to multiply 3y by y+5.

$$\left(3y^{2}+15y\right)\left(y+2\right)$$

Apply the distributive property by multiplying each term of 3y^{2}+15y by each term of y+2.

$$3y^{3}+6y^{2}+15y^{2}+30y$$

Combine 6y^{2} and 15y^{2} to get 21y^{2}.

$$3y^{3}+21y^{2}+30y$$

Expand

$$3y^{3}+21y^{2}+30y$$

Solution Steps

Use the distributive property to multiply 3y by y+5.

$$\left(3y^{2}+15y\right)\left(y+2\right)$$

Apply the distributive property by multiplying each term of 3y^{2}+15y by each term of y+2.

$$3y^{3}+6y^{2}+15y^{2}+30y$$

Combine 6y^{2} and 15y^{2} to get 21y^{2}.

$$3y^{3}+21y^{2}+30y$$