Simplify: $$ |3-10|-(12 \div 4+2)^{2} $$

Question

UpStudy AI · Accepted Answer

To simplify the expression $$ |3-10|-(12 \div 4+2)^{2} $$, we will follow the order of operations step by step.

1. **Calculate the absolute value**:
   $$
   |3 - 10| = |-7| = 7
   $$

2. **Calculate the division**:
   $$
   12 \div 4 = 3
   $$

3. **Add 2 to the result of the division**:
   $$
   3 + 2 = 5
   $$

4. **Square the result**:
   $$
   5^2 = 25
   $$

5. **Combine the results**:
   Now substitute back into the expression:
   $$
   7 - 25
   $$

6. **Perform the subtraction**:
   $$
   7 - 25 = -18
   $$

Thus, the simplified expression is:
$$
\boxed{-18}
$$
The simplified expression is -18.

Simplify: \( |3-10|-(12 \div 4+2)^{2} \)