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Simplify: 2a−[4b−4a−(3b−2a+2b)] - Mathematics

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Question

Simplify:

\[2a - [4b - {4a - (3b - 2a + 2b)}]\]
Sum
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Solution

`2a - [4b - {4a - (3b - overline(2a + 2b))}]`

We will first remove the innermost grouping symbol bar bracket. Next, we will remove ( ), followed by { } and then [ ].

∴ `2a - [4b - {4a - (3b - overline(2a + 2b))}]`

= 2a - [4b - {4a - (3b - 2a - 2b)}]

= 2a - [4b - {4a - (b - 2a)}]

= 2a - [4b - {4a - b + 2a}]

= 2a - [4b - {6a - b}]

= 2a - [4b - 6a + b]

= 2a - [5b - 6a]

= 2a - 5b + 6a

= 8a - 5b

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Chapter 8: Algebraic Expressions - Exercise 8D [Page 137]

APPEARS IN

R.S. Aggarwal Mathematics [English] Class 6
Chapter 8 Algebraic Expressions
Exercise 8D | Q 16 | Page 137
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