What is the correct method of introducing the expanded form for Acronym in the bracket? is it expanded form first and then the acronym in bracket or Vica-Versa. Also, what is the difference in introducing the acronyms to the American audience or to the British audience?
There's no one correct way to introduce abbreviations. The U.S. Government Publishing Office Style Manual says (p. 221),
Abbreviations not generally known should be followed in the text by the spelled-out forms in parentheses the first time they occur.
However, it also gives examples (p. 196) of putting the abbreviations in parentheses. For acronyms that are well known, the Associated Press Style Book and Libel Manual, Sixth Trade Edition (Reading, Mass.: Addison-Wesley Publishing, 1996), gave the example of NASA, the National Aeronautics and Space Administration (p. 136): “NASA is acceptable on first reference [that is, without explanation].… mention the full name later.” But as the comments point out, make sure that using the abbreviation actually helps communication.
This is a question of style, rather than a grammatical rule. Either of the following are valid usage.
- Many manufacturers now use Solid-state Disk (SSD) storage.
- Many manufacturers now use SSD (Solid-state Disk) storage.
I prefer 1. but I'd have no problem to 2. I wouldn't even object to text that mixed 1. and 2., but I would prefer a writer who was consistent.
The more important thing is that your first use of the abbreviation has the expanded form beside it.