Solve y(y-4-yleft(3-2yright)

$$y(y-4-y \left( 3-2y \right)$$

Evaluate

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

Solution Steps

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

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

To find the opposite of 3y-2y^{2}, find the opposite of each term.

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

The opposite of -2y^{2} is 2y^{2}.

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

Combine y and -3y to get -2y.

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

Use the distributive property to multiply y by -2y-4+2y^{2}.

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

Expand

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

Solution Steps

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

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

To find the opposite of 3y-2y^{2}, find the opposite of each term.

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

The opposite of -2y^{2} is 2y^{2}.

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

Combine y and -3y to get -2y.

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

Use the distributive property to multiply y by -2y-4+2y^{2}.

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