Step 1a

The given expression is:
{ [ (22 + 3) × 6 ] × (3 × (6 + 4) − [ 5 × ( 3 − 2 ) ] ) } ÷ 3

Start with the innermost parentheses:

Inside the first set of square brackets: (22 + 3) = 25.

Inside the second set of square brackets: (3 − 2) = 1
5 × 1 = 5.

Inside the second set of parentheses: (6 + 4) = 10
3 × 10 = 30.

Subtract the result of the brackets from the result of the multiplication: 30 − 5 = 25.

Explanation: We simplify the expression by calculating values in the innermost parentheses and brackets separately using addition, subtraction, and multiplication operations.

Step 1b

Now, go back to the main expression:

[(25 × 6) × 25] ÷ 3

Explanation: Simplify the innermost parts of the expression before returning to the main expression with the results obtained from the previous step.

Step 1c

Multiply inside the first set of parentheses:

25 × 6 = 150

Explanation: After resolving the innermost parentheses, we proceed to multiply 25 by 6, enclosed within the first set of parentheses.

Step 1d

Now, multiply 150 by 25:

150 × 25 = 3750

Explanation: After solving the first multiplication, we multiply the result by 25, which is outside the parentheses.

Step 1e

Now, divide 3750 by 3:

3750 ÷ 3 = 1250

So, the final answer is 1250.

Explanation: After multiplying the numbers, divide the result by 3, then the final answer for the expression is 1250.