Solve (y-1)*(y-2)+y*(3-y)=

$$( y - 1 ) \cdot ( y - 2 ) + y \cdot ( 3 - y ) =$$

Evaluate

$$2$$

Solution Steps

Apply the distributive property by multiplying each term of y-1 by each term of y-2.

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

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

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

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

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

Combine -3y and 3y to get 0.

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

Combine y^{2} and -y^{2} to get 0.

$$2$$

Factor

$$2$$