I see you have an image with some algebraic expressions to simplify. Let's break down the two problems in the image.

Problem 7:

Simplify:

$\frac{3}{4x + 4} + \frac{2}{x - 2}$

This can be simplified by finding a common denominator. The denominators are $4x + 4$ and $x - 2$. We can factor the first denominator to get:

$4x + 4 = 4(x + 1)$

So, the expression becomes:

$\frac{3}{4(x + 1)} + \frac{2}{x - 2}$

The next step is to find the least common denominator (LCD), which would be the product of the two denominators: $4(x + 1)(x - 2)$. We can now rewrite each fraction with this common denominator and then combine them.

Problem 8:

Simplify:

$\frac{2x^2 - 1}{x^2 + 1} - \frac{1}{x + 1}$

In this case, the denominators are $x^2 + 1$ and $x + 1$. To combine the terms, we need to find the common denominator. One way to handle this is to factor if possible or adjust each fraction to have the same denominator, then simplify.

Would you like me to continue with these steps, or do you have a specific part you'd like to focus on?