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

[tex]
\[
\begin{array}{rlr}
& 65-\left[\left(2+3^2 \cdot 4\right)-5\right]+2 & \\
= & 65-[(2+9 \cdot 4)-5]+2 & \text { Step 1 } \\
= & 65-[(11 \cdot 4)-5]+2 & \text { Step 2 } \\
= & 65-[44-5]+2 & \text { Step 3 } \\
= & 65-39+2 & \text { Step 4 } \\
= & 26+2 & \text { Step 5 } \\
= & 28 & \text { Step 6 }
\end{array}
\]
[/tex]

Is Ed's work correct?

1. No, Ed made a mistake going from Step 1 to Step 2. Ed should have multiplied 9 and 4 before adding. The order of operations says to multiply before you add.

2. No, Ed made a mistake going from Step 3 to Step 4. Ed should have subtracted 44 from 65 instead of subtracting 5 from 44. The order of operations says to subtract from left to right.

3. Yes, Ed's work is correct.

Let's carefully go through Ed's work and identify where he went wrong by following the correct order of operations.

The expression Ed started with is:
[tex]\[ 65 - \left[\left(2 + 3^2 \cdot 4 \right) - 5\right] + 2 \][/tex]

Let's evaluate this step by step:

1. Calculate [tex]$3^2$[/tex]:
[tex]$3^2 = 9$[/tex]

2. Evaluate the multiplication inside the brackets next:
Multiply [tex]$9 \cdot 4$[/tex]:
[tex]$9 \cdot 4 = 36$[/tex]

3. Add 2 to this product:
Inside the brackets, add 2:
[tex]$2 + 36 = 38$[/tex]

4. Subtract 5 from the result:
Complete the operations inside the brackets:
[tex]$38 - 5 = 33$[/tex]

5. Subtract from 65:
Now, evaluate [tex]$65 - 33$[/tex]:
[tex]$65 - 33 = 32$[/tex]

6. Add 2 to the result:
Finally, add 2:
[tex]$32 + 2 = 34$[/tex]

Upon checking each of these steps, the final correct answer is 34, not 28. So, Ed made a mistake in his calculations. The error occurred in Ed's Step 3 to Step 4. Ed incorrectly subtracted 5 from 44 when he should have subtracted 33 from 65. This mistake led to the final incorrect result of 28.