Solve 2p/p-3+6/3-p

$$\frac { 2 p } { p - 3 } + \frac { 6 } { 3 - p }$$

Evaluate

$$2$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of p-3 and 3-p is p-3. Multiply \frac{6}{3-p} times \frac{-1}{-1}.

$$\frac{2p}{p-3}+\frac{6\left(-1\right)}{p-3}$$

Since \frac{2p}{p-3} and \frac{6\left(-1\right)}{p-3} have the same denominator, add them by adding their numerators.

$$\frac{2p+6\left(-1\right)}{p-3}$$

Do the multiplications in 2p+6\left(-1\right).

$$\frac{2p-6}{p-3}$$

Factor the expressions that are not already factored in \frac{2p-6}{p-3}.

$$\frac{2\left(p-3\right)}{p-3}$$

Cancel out p-3 in both numerator and denominator.

$$2$$

Factor

$$2$$