I can clearly see the mathematical expressions from the image you uploaded. Let me solve each of the problems listed.

1. $3 + 2 = 5$
2. $3 + (-2) = 1$
3. $-3 + 2 = -1$
4. $-3 + (-2) = -5$
5. $3 - 2 = 1$
6. $3 - (-2) = 5$
7. $-3 - 2 = -5$
8. $-3 - (-2) = -1$
9. $3 \times 2 = 6$
10. $3 \times (-2) = -6$
11. $-3 \times 2 = -6$
12. $(-3) \times (-2) = 6$
13. $\frac{6}{3} = 2$
14. $\frac{6}{-3} = -2$

Would you like me to explain any particular steps? Here are some additional questions to further your understanding:

1. How does multiplying two negative numbers result in a positive?
2. Can you explain why subtracting a negative number is equivalent to adding its positive counterpart?
3. What happens when you divide a number by a negative?
4. Why does adding a positive number to a negative number sometimes result in a smaller number?
5. What is the rule for combining positive and negative numbers in multiplication?

Tip: When dealing with negative numbers, always remember the rules: subtracting a negative becomes addition, and multiplying or dividing two negatives results in a positive.