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Simplify : 2{"M"-3("N"+Overline("M"-2"N"))} - Mathematics

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Question

Simplify : `2{m-3(n+overline(m-2n))}`

Sum

Solution

`2{m-3(n+overline(m-2n))}`

The overline indicates grouping. Simplify `\overline{m - 2n}`​:

`\overline(m−2n)​=m−2n`

Substitute this back into the expression

2{m − 3(n + (m − 2n))}

Simplify n + (m − 2n)

n + m − 2n = m − n

2{m − 3(m − n)}

Distribute −3 across (m−n):

−3(m − n) = −3m + 3n

2{m + (−3m + 3n)}

m − 3m + 3n = −2m + 3n

Distribute 2 across −2m + 3n

2(−2m + 3n) = −4m + 6n

−4m + 6n

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Simplification of Expressions
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Chapter 11: Algebraic Expressions - Exercise 11 (E) [Page 147]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 11 Algebraic Expressions
Exercise 11 (E) | Q 1.04 | Page 147
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