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

Question

7227 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.