Solve 3-y/x*(1-y)/x

$$\frac { \frac { 3 - y } { x } \times ( 1 - y ) } { x }$$

Evaluate

$$\frac{\left(1-y\right)\left(3-y\right)}{x^{2}}$$

Short Solution Steps

Express \frac{3-y}{x}\left(1-y\right) as a single fraction.

$$\frac{\frac{\left(3-y\right)\left(1-y\right)}{x}}{x}$$

Express \frac{\frac{\left(3-y\right)\left(1-y\right)}{x}}{x} as a single fraction.

$$\frac{\left(3-y\right)\left(1-y\right)}{xx}$$

Multiply x and x to get x^{2}.

$$\frac{\left(3-y\right)\left(1-y\right)}{x^{2}}$$

Apply the distributive property by multiplying each term of 3-y by each term of 1-y.

$$\frac{3-3y-y+y^{2}}{x^{2}}$$

Combine -3y and -y to get -4y.

$$\frac{3-4y+y^{2}}{x^{2}}$$

Expand

$$\frac{y^{2}-4y+3}{x^{2}}$$

Short Solution Steps

Express \frac{3-y}{x}\left(1-y\right) as a single fraction.

$$\frac{\frac{\left(3-y\right)\left(1-y\right)}{x}}{x}$$

Express \frac{\frac{\left(3-y\right)\left(1-y\right)}{x}}{x} as a single fraction.

$$\frac{\left(3-y\right)\left(1-y\right)}{xx}$$

Multiply x and x to get x^{2}.

$$\frac{\left(3-y\right)\left(1-y\right)}{x^{2}}$$

Apply the distributive property by multiplying each term of 3-y by each term of 1-y.

$$\frac{3-3y-y+y^{2}}{x^{2}}$$

Combine -3y and -y to get -4y.

$$\frac{3-4y+y^{2}}{x^{2}}$$