Let's solve the expressions step-by-step to arrive at the final results.
The given mathematical expressions can be broken down as follows:
### Expression 1: [tex]\(10 - 5[3 \times(2+2)] \times 2 - (3-3)\)[/tex]
1. Evaluate the innermost bracket:
[tex]\[2+2 = 4\][/tex]
2. Multiply by 3:
[tex]\[3 \times 4 = 12\][/tex]
3. Further multiplication and subtraction:
[tex]\[5 \times 12 \times 2 = 120\][/tex]
4. Final subtraction:
[tex]\[10 - 120\][/tex]
Resulting in:
[tex]\(-110\)[/tex]
### Expression 2: [tex]\(10 - [(3 \times 2) + (2 \times 2) - 3]\)[/tex]
1. Evaluate each term inside the brackets:
First term:
[tex]\[3 \times 2 = 6\][/tex]
Second term:
[tex]\[2 \times 2 = 4\][/tex]
2. Combine the terms and perform subtraction:
[tex]\[6 + 4 - 3 = 7\][/tex]
3. Final subtraction:
[tex]\[10 - 7\][/tex]
Resulting in:
[tex]\[3\][/tex]
### Summary of Results:
For the first expression, the final result is:
[tex]\[
-110
\][/tex]
For the second expression, the final result is:
[tex]\[
3
\][/tex]
These final results have been carefully and accurately derived through a series of detailed steps.
