Using brackets:

Brackets help in simplifying an expression that has more than one mathematical operationIf an expression that includes brackets is given, then turn everything inside the bracket into a single number
, and then carry out the operation that lies outside.
Eg: 
1. (6 + 8) x 10 = 14 x 10 = 140
2. (8 + 3) (9 - 4) = 11 x 5 = 55


Expanding brackets:

The use of brackets allows us to follow a certain procedure to expand the brackets systematically.
For example:
  1. 8 x 109 = 8 x (100 + 9) = 8 x 100 + 8 x 9 = 800 + 72 = 872
  2. 105 x 108 = (100 + 5) x (100 + 8)
= (100+5)x100+(100+5)x8
=100 x 100 + 5 x 100 + 100 x 8 + 5 x 8
=10000 + 500+ 800 + 40
=1134



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