Solve 3y(y+5)(y-7)

$$3 y ( y + 5 ) ( y - 7 )$$

Evaluate

$$3y\left(y-7\right)\left(y+5\right)$$

Solution Steps

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

$$\left(3y^{2}+15y\right)\left(y-7\right)$$

Apply the distributive property by multiplying each term of 3y^{2}+15y by each term of y-7.

$$3y^{3}-21y^{2}+15y^{2}-105y$$

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

$$3y^{3}-6y^{2}-105y$$

Expand

$$3y^{3}-6y^{2}-105y$$

Solution Steps

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

$$\left(3y^{2}+15y\right)\left(y-7\right)$$

Apply the distributive property by multiplying each term of 3y^{2}+15y by each term of y-7.

$$3y^{3}-21y^{2}+15y^{2}-105y$$

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

$$3y^{3}-6y^{2}-105y$$