Solve the equation 15 (6 + 4) + 52 – 12

According to the BODMAS rule, an expression must be evaluated in a fixed order: first Brackets, then Of/Exponents (Orders), then Division and Multiplication (left to right), and finally Addition and Subtraction (left to right). No lower-priority operation is carried out until every higher-priority one has been cleared.

Applying this order to 15 (6 + 4) + 52 – 12:

1. Brackets first: 6 + 4 = 10, so the expression becomes 15 × 10 + 52 – 12.

2. Exponents next: 52 = 25, so the expression becomes 15 × 10 + 25 – 12.

3. Multiplication next: 15 × 10 = 150, so the expression becomes 150 + 25 – 12.

4. Addition (left to right): 150 + 25 = 175, so the expression becomes 175 – 12.

5. Subtraction: 175 – 12 = 163.

Cross-check using the distributive law: 15 × (6 + 4) = 15 × 6 + 15 × 4 = 90 + 60 = 150, matching the multiplication step above; adding 52 = 25 and subtracting 12 again gives 150 + 25 – 12 = 163, confirming the result independently.

So the value of the expression is 163.