Simplify the following algebraic expressions by removing grouping… - Vidyadip

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

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