Question
Simplify the following algebraic expressions by removing grouping symbols: $2a - [4b - {4a - 3(2a - b)}]$
✓
Answer
First we have to remove the small brackets, or parentheses, $()$, then the curly brackets, ${}$, and then the square brackets, []. Therefore, we have $2a - [4b - {4a - 3(2a - b)}]$
$= 2a - [4b - {4a - 6a + 3b}] $
$= 2a - [4b - {- 2a + 3b}] $
$= 2a - [4b + 2a - 3b] $
$= 2a - [b + 2a]$
$ = 2a - b - 2a$
$ = -b$
$= 2a - [4b - {4a - 6a + 3b}] $
$= 2a - [4b - {- 2a + 3b}] $
$= 2a - [4b + 2a - 3b] $
$= 2a - [b + 2a]$
$ = 2a - b - 2a$
$ = -b$
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