Solve 7/y-2-11/2-y

$$\frac { 7 } { y - 2 } - \frac { 11 } { 2 - y }$$

Evaluate

$$\frac{18}{y-2}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of y-2 and 2-y is y-2. Multiply \frac{11}{2-y} times \frac{-1}{-1}.

$$\frac{7}{y-2}-\frac{11\left(-1\right)}{y-2}$$

Since \frac{7}{y-2} and \frac{11\left(-1\right)}{y-2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-11\left(-1\right)}{y-2}$$

Do the multiplications in 7-11\left(-1\right).

$$\frac{7+11}{y-2}$$

Do the calculations in 7+11.

$$\frac{18}{y-2}$$

Differentiate w.r.t. y

$$-\frac{18}{\left(y-2\right)^{2}}$$