Solve 2y-2quad1/cquady+3

$$2 y - 2 \quad \frac { 1 } { c } \quad y + 3$$

Evaluate

$$2y-\frac{2y}{c}+3$$

Short Solution Steps

Express 2\times \frac{1}{c} as a single fraction.

$$2y-\frac{2}{c}y+3$$

Express \frac{2}{c}y as a single fraction.

$$2y-\frac{2y}{c}+3$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2y times \frac{c}{c}.

$$\frac{2yc}{c}-\frac{2y}{c}+3$$

Since \frac{2yc}{c} and \frac{2y}{c} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2yc-2y}{c}+3$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{c}{c}.

$$\frac{2yc-2y}{c}+\frac{3c}{c}$$

Since \frac{2yc-2y}{c} and \frac{3c}{c} have the same denominator, add them by adding their numerators.

$$\frac{2yc-2y+3c}{c}$$

Differentiate w.r.t. c

$$\frac{2y}{c^{2}}$$