Solve 3/p-3-1/2p

$$\frac { 3 } { p - 3 } - \frac { 1 } { 2 p }$$

Evaluate

$$\frac{5p+3}{2p\left(p-3\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of p-3 and 2p is 2p\left(p-3\right). Multiply \frac{3}{p-3} times \frac{2p}{2p}. Multiply \frac{1}{2p} times \frac{p-3}{p-3}.

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

Since \frac{3\times 2p}{2p\left(p-3\right)} and \frac{p-3}{2p\left(p-3\right)} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in 3\times 2p-\left(p-3\right).

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

Combine like terms in 6p-p+3.

$$\frac{5p+3}{2p\left(p-3\right)}$$

Expand 2p\left(p-3\right).

$$\frac{5p+3}{2p^{2}-6p}$$

Factor

$$\frac{5p+3}{2p\left(p-3\right)}$$