Short Answer 
To simplify expressions using the BODMAS rule, start by addressing operations inside brackets first, followed by division and multiplication, and finally addition and subtraction. For example, in the expression 22 + 6[(14-5) ‚àö‚àë 3(17-14)], calculate the bracketed values first, then follow the order of operations to find the final answer of 28.
Step 1: Understand the BODMAS Rule
To simplify expressions involving brackets, start by familiarizing yourself with the BODMAS rule, which dictates the order of operations. The order is as follows:
- Brackets
- Of
- Division
- Multiplication
- Addition
- Subtraction
This means you should always address anything inside brackets first before moving on to other operations.
Step 2: Solve the Brackets First
Using the expression given as an example: 22 + 6[(14-5) ‚àö‚àë 3(17-14)], start solving by focusing on the brackets. This involves:
- Calculating (14-5) which equals 9.
- Calculating (17-14) which equals 3.
Substituting these values back into the expression will lead you to: 22 + 6[(9) ‚àö‚àë 3(3)].
Step 3: Complete the Operations
Next, resolve any remaining operations from left to right as per the BODMAS rule. For the expression 22 + 6[(9) ‚àö‚àë 9], continue as follows:
- Divide 9 by 9, which equals 1.
- Then multiply this by 6, resulting in 6.
- Add this to 22 to get the final answer, which is 28.
Following this structured approach ensures that you simplify expressions correctly and avoid mistakes.