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Example- Solve (12+14)of16 Solution-  (12+14)of16 Step 1: Solving the fraction inside the bracket first- 12+14=34   Step 2: Now the expression will be 34of16 34×16 =12 …

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Example- Solve (12+14)of16 Solution-  (12+14)of16 Step 1: Solving the fraction inside the bracket first- 12+14=34   Step 2: Now the expression will be 34of16 34×16 =12  

SIMPLIFICATION OF BRACKETS

Simplification of brackets in an expression means expansion of brackets. We can remove brackets from an expression by expanding them by multiplication. We use distributive law of multiplication over addition or subtraction. Generally, it can be written as: BODMAS RULE Notes: The order of brackets to be simplified is (), {}, []. Example 2: Expand and simplify BODMAS RULE Solution:
  1. The terms inside the bracket are like terms. We can solve this by two methods.
Method 1:  Add the terms inside the bracket and multiply the number outside bracket with the sum. BODMAS RULE Method 2: Multiply the number outside the bracket with each term inside the bracket and add the products. BODMAS RULE
  1. Here the terms are unlike. This can be simplified by multiplying the number outside the bracket with the terms inside the bracket and add the products.
BODMAS RULE BODMAS RULE Step 1: Simplify the terms inside {}. Step 2: Simplify {} and operate with terms outside the bracket. 1800÷10(126)+(2412) 1800÷10{6+12} 180{18} =3240(ii) 12[{2(1+2)}10]< Step 1: Simplify the terms inside () followed by {}, then []. Step 2: Operate terms with the terms outside the bracket. BODMAS RULE
Condition Rule
BODMAS RULE Open the bracket and add the terms.
BODMAS RULE Open the bracket and multiply the negative sign with each term inside the bracket.(All positive terms will be negative and vice-versa)
BODMAS RULE Multiply term outside with each term inside the bracket

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