Answer :

Sure! Let's solve each of these mathematical expressions step by step:

1. Expression: [tex]\(36 + 27\)[/tex]
- Addition: Add 36 and 27.

Therefore,
[tex]\[ 36 + 27 = 63 \][/tex]

2. Expression: [tex]\(-17 + (-25)\)[/tex]
- Addition with negative numbers: When adding two negative numbers, we add their absolute values (disregard the negative signs) and then attach a negative sign to the result.

Hence,
[tex]\[ -17 + (-25) = -(17 + 25) = -42 \][/tex]

3. Expression: [tex]\(-25 + 29\)[/tex]
- Addition involving a negative and a positive number: Here, you subtract the smaller number from the bigger one, and then take the sign of the number with the greater absolute value.

So,
[tex]\[ -25 + 29 = 4 \][/tex]

Thus, the solutions for the given expressions are:
[tex]\[ \begin{aligned} 36 + 27 &= 63, \\ -17 + (-25) &= -42, \\ -25 + 29 &= 4. \end{aligned} \][/tex]