5x-8/x-1 14×+12/3x+5

It looks like you have two rational expressions you'd like to work with. Let's clarify and simplify them one by one.

The expressions you provided are:

1. \(\frac{5x - 8}{x - 1}\)
2. \(\frac{14x + 12}{3x + 5}\)

Let's simplify each expression.

1. Simplifying \(\frac{5x - 8}{x - 1}\)

This expression is already in simplest form, as there are no common factors to cancel out.

2. Simplifying \(\frac{14x + 12}{3x + 5}\)

For this expression, we can factor out the numerator:

\[ 14x + 12 = 2(7x + 6) \]

Thus:

\[ \frac{14x + 12}{3x + 5} = \frac{2(7x + 6)}{3x + 5} \]

Again, there are no common factors with the denominator, so this is also in its simplest form.

Conclusion

• The expression \(\frac{5x - 8}{x - 1}\) remains \(\frac{5x - 8}{x - 1}\).
• The expression \(\frac{14x + 12}{3x + 5}\) simplifies to \(\frac{2(7x + 6)}{3x + 5}\).

If you have further calculations to perform, such as addition or multiplication between these two expressions or any other specific requests, please let me know!