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

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

Evaluate

$$\frac{6p-5q+P}{p+q}$$

Short Solution Steps

Since \frac{P-2q}{p+q} and \frac{6p-3q}{q+p} have the same denominator, add them by adding their numerators.

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

Combine like terms in P-2q+6p-3q.

$$\frac{P-5q+6p}{p+q}$$

Expand

$$\frac{6p-5q+P}{p+q}$$

Short Solution Steps

Since \frac{P-2q}{p+q} and \frac{6p-3q}{q+p} have the same denominator, add them by adding their numerators.

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

Combine like terms in P-2q+6p-3q.

$$\frac{P-5q+6p}{p+q}$$