Question
Simplify:
2a - 3b - [3a - 2b - {a - c - (a - 2b)}]
2a - 3b - [3a - 2b - {a - c - (a - 2b)}]
✓
Answer
Removing the innermost grouping symbol ( ) first, then { } and then [ ], we have:
2a - 3b - [3a - 2b - {a - c - (a - 2b)}]
= 2a - 3b - [3a - 2b - {a - c - a + 2b}]
= 2a - 3b - [3a - 2b - {- c + 2b}]
= 2a - 3b - [3a - 2b + c - 2b]
= 2a - 3b - 3a + 2b - c + 2b
= 2a - 3a - 3b + 2b + 2b - c
= -a + b - c
2a - 3b - [3a - 2b - {a - c - (a - 2b)}]
= 2a - 3b - [3a - 2b - {a - c - a + 2b}]
= 2a - 3b - [3a - 2b - {- c + 2b}]
= 2a - 3b - [3a - 2b + c - 2b]
= 2a - 3b - 3a + 2b - c + 2b
= 2a - 3a - 3b + 2b + 2b - c
= -a + b - c
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