Is Eli's work correct?

Eli tried to evaluate an expression. Here is his work:

[tex]
\[
\begin{array}{lr}
126-\left(2^2+3^2\right) \cdot 2 & \\
=126-(4+9) \cdot 2 & \text{Step 1} \\
=126-13 \cdot 2 & \text{Step 2} \\
=126-26 & \text{Step 3} \\
=100 & \text{Step 4}
\end{array}
\]
[/tex]

No, Eli made a mistake going from Step 1 to Step 2. Eli should have multiplied [tex]13 \cdot 2[/tex] correctly. The correct operation should be:

[tex]
126 - 13 \cdot 2 = 126 - 26 = 100
[/tex]

Sure, let's break down Eli's work and identify the mistake step-by-step:

### Original Expression:
[tex]\[ 126 - (2^2 + 3^2) \cdot 2 \][/tex]

### Step-by-Step Evaluation:

1. Step 1: Evaluate the exponents
[tex]\[ 126 - (4 + 9) \cdot 2 \][/tex]
Here, Eli evaluated [tex]$2^2$[/tex] as 4 and [tex]$3^2$[/tex] as 9, which is correct.

2. Step 2: Evaluate the expression inside the parentheses
[tex]\[ 126 - 13 \cdot 2 \][/tex]
Eli added 4 and 9 to get 13, which is again correct.

3. Step 3: Perform the multiplication
[tex]\[ 126 - 26 \][/tex]
Eli multiplied 13 by 2 to get 26, which is correct.

4. Step 4: Subtract
[tex]\[ 100 \][/tex]
Finally, Eli subtracted 26 from 126 to get 100, which is correct.

So, Eli's calculations are correct from start to finish. There are no mistakes in his work.

### Final Answer:
Eli's work is correct.