How do you expand #2(4b-5)-4b#?

1 Answer
Anjali G
Nov 15, 2016

#4b-10# is the answer, however, some teachers prefer the answer to be factored. We can factor a 2 out and get a final answer of:
#=2(2b-5)#

Explanation:

#2(4b-5)-4b#

To expand, we use the distributive property first: #a(b+c)=ab+ac#

#=2(4b)-2(5)-4b#
#=8b-10-4b#

Combine like terms, meaning add terms which contain #b# to each other:
#=8b-4b-10#
#=4b-10#

#=2(2b-5)#

Related questions
Impact of this question
912 views around the world
You can reuse this answer
Creative Commons License