How do you simplify $2m - [n - (m - 2n)]$ ?

Question

7692 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-11T20:43:55

$3m-3n$

Expand the curly brackets first

$2m-[n-m+2n]$
$2m-[3n-m]$
Then expand the square brackets

$2m-3n+m$
$3m-3n$

Answer 2 · 2018-04-11T20:49:22

$3m - 3n$

You start by getting rid of the brackets inside the other brackets

$2m - ( n - m + 2n)$

The $+$ became a $-$ because there was another $-$ in front. Now you remove the other bracket

$2m - n + m - 2n$

$3m - 3n$

and if you like you can write this as a common factor

$3 ( m - n )$

The main thing is to understand that the signs alter as shown before.

How do you simplify 2m - [n - (m - 2n)]2m - [n - (m - 2n)]?