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

$$3 y ( y + 3 ) + 2 ( y + 3 ) ( y ^ { 2 } - 1 )$$

Evaluate

$$\left(2y-1\right)\left(y+2\right)\left(y+3\right)$$

Solution Steps

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

$$3y^{2}+9y+2\left(y+3\right)\left(y^{2}-1\right)$$

Use the distributive property to multiply 2 by y+3.

$$3y^{2}+9y+\left(2y+6\right)\left(y^{2}-1\right)$$

Use the distributive property to multiply 2y+6 by y^{2}-1.

$$3y^{2}+9y+2y^{3}-2y+6y^{2}-6$$

Combine 9y and -2y to get 7y.

$$3y^{2}+7y+2y^{3}+6y^{2}-6$$

Combine 3y^{2} and 6y^{2} to get 9y^{2}.

$$9y^{2}+7y+2y^{3}-6$$

Expand

$$2y^{3}+9y^{2}+7y-6$$

Solution Steps

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

$$3y^{2}+9y+2\left(y+3\right)\left(y^{2}-1\right)$$

Use the distributive property to multiply 2 by y+3.

$$3y^{2}+9y+\left(2y+6\right)\left(y^{2}-1\right)$$

Use the distributive property to multiply 2y+6 by y^{2}-1.

$$3y^{2}+9y+2y^{3}-2y+6y^{2}-6$$

Combine 9y and -2y to get 7y.

$$3y^{2}+7y+2y^{3}+6y^{2}-6$$

Combine 3y^{2} and 6y^{2} to get 9y^{2}.

$$9y^{2}+7y+2y^{3}-6$$