Solve (200/y+10)(y-2)

$$( \frac { 200 } { y } + 10 ) ( y - 2 )$$

Evaluate

$$10y+180-\frac{400}{y}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 10 times \frac{y}{y}.

$$\left(\frac{200}{y}+\frac{10y}{y}\right)\left(y-2\right)$$

Since \frac{200}{y} and \frac{10y}{y} have the same denominator, add them by adding their numerators.

$$\frac{200+10y}{y}\left(y-2\right)$$

Express \frac{200+10y}{y}\left(y-2\right) as a single fraction.

$$\frac{\left(200+10y\right)\left(y-2\right)}{y}$$

Apply the distributive property by multiplying each term of 200+10y by each term of y-2.

$$\frac{200y-400+10y^{2}-20y}{y}$$

Combine 200y and -20y to get 180y.

$$\frac{180y-400+10y^{2}}{y}$$

Expand

$$10y+180-\frac{400}{y}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 10 times \frac{y}{y}.

$$\left(\frac{200}{y}+\frac{10y}{y}\right)\left(y-2\right)$$

Since \frac{200}{y} and \frac{10y}{y} have the same denominator, add them by adding their numerators.

$$\frac{200+10y}{y}\left(y-2\right)$$

Express \frac{200+10y}{y}\left(y-2\right) as a single fraction.

$$\frac{\left(200+10y\right)\left(y-2\right)}{y}$$

Apply the distributive property by multiplying each term of 200+10y by each term of y-2.

$$\frac{200y-400+10y^{2}-20y}{y}$$

Combine 200y and -20y to get 180y.

$$\frac{180y-400+10y^{2}}{y}$$