Solve p-1/5p^2-6p-8+p-1/5p^2-6p-8

$$\frac { p - 1 } { 5 p ^ { 2 } - 6 p - 8 } + \frac { p - 1 } { 5 p ^ { 2 } - 6 p - 8 }$$

Evaluate

$$\frac{2\left(p-1\right)}{\left(p-2\right)\left(5p+4\right)}$$

Short Solution Steps

Combine \frac{p-1}{5p^{2}-6p-8} and \frac{p-1}{5p^{2}-6p-8} to get 2\times \frac{p-1}{5p^{2}-6p-8}.

$$2\times \frac{p-1}{5p^{2}-6p-8}$$

Express 2\times \frac{p-1}{5p^{2}-6p-8} as a single fraction.

$$\frac{2\left(p-1\right)}{5p^{2}-6p-8}$$

Use the distributive property to multiply 2 by p-1.

$$\frac{2p-2}{5p^{2}-6p-8}$$

Expand

$$\frac{2\left(p-1\right)}{5p^{2}-6p-8}$$

Short Solution Steps

Combine \frac{p-1}{5p^{2}-6p-8} and \frac{p-1}{5p^{2}-6p-8} to get 2\times \frac{p-1}{5p^{2}-6p-8}.

$$2\times \frac{p-1}{5p^{2}-6p-8}$$

Express 2\times \frac{p-1}{5p^{2}-6p-8} as a single fraction.

$$\frac{2\left(p-1\right)}{5p^{2}-6p-8}$$

Use the distributive property to multiply 2 by p-1.

$$\frac{2p-2}{5p^{2}-6p-8}$$