Solve (5k-10/k)10-10k^2

$$( \frac { 5 k - 10 } { k } ) 10 - 10 k ^ { 2 }$$

Evaluate

$$-10k^{2}+50-\frac{100}{k}$$

Short Solution Steps

Express \frac{5k-10}{k}\times 10 as a single fraction.

$$\frac{\left(5k-10\right)\times 10}{k}-10k^{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -10k^{2} times \frac{k}{k}.

$$\frac{\left(5k-10\right)\times 10}{k}+\frac{-10k^{2}k}{k}$$

Since \frac{\left(5k-10\right)\times 10}{k} and \frac{-10k^{2}k}{k} have the same denominator, add them by adding their numerators.

$$\frac{\left(5k-10\right)\times 10-10k^{2}k}{k}$$

Do the multiplications in \left(5k-10\right)\times 10-10k^{2}k.

$$\frac{50k-100-10k^{3}}{k}$$

Expand

$$-10k^{2}+50-\frac{100}{k}$$

Short Solution Steps

Express \frac{5k-10}{k}\times 10 as a single fraction.

$$\frac{\left(5k-10\right)\times 10}{k}-10k^{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -10k^{2} times \frac{k}{k}.

$$\frac{\left(5k-10\right)\times 10}{k}+\frac{-10k^{2}k}{k}$$

Since \frac{\left(5k-10\right)\times 10}{k} and \frac{-10k^{2}k}{k} have the same denominator, add them by adding their numerators.

$$\frac{\left(5k-10\right)\times 10-10k^{2}k}{k}$$

Do the multiplications in \left(5k-10\right)\times 10-10k^{2}k.

$$\frac{50k-100-10k^{3}}{k}$$