The image you uploaded contains an expression that appears to be a fraction subtraction. Let me break it down:

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

Since both fractions have the same denominator (4), you can subtract the numerators directly:

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

Simplify the numerator:

$(3 + \sqrt{2}) - (3 + 3\sqrt{2}) = 3 + \sqrt{2} - 3 - 3\sqrt{2}$

The 3’s cancel out, leaving:

$\sqrt{2} - 3\sqrt{2} = -2\sqrt{2}$

Thus, the expression becomes:

$\frac{-2\sqrt{2}}{4}$

Now, simplify the fraction:

$\frac{-2\sqrt{2}}{4} = \frac{-\sqrt{2}}{2}$

So, the simplified result is:

$\frac{-\sqrt{2}}{2}$

Would you like further details on this solution, or do you have any other questions? Here are some related questions to explore further:

1. How do you simplify square roots in expressions?
2. What happens when you subtract fractions with the same denominator?
3. How can you apply this technique to solve more complex algebraic expressions?
4. How do you handle negative square roots in equations?
5. What are some other examples of fractional simplifications?

Tip: When simplifying fractions with square roots, always try to combine like terms first, such as terms involving the same square root, before simplifying the fraction.