SOLUTION: (48a+b)-(-22a-6b) how do i do this? do I take it like this: (48a+22a)-(b-6b) and how does it become 70a+9b?

Algebra ->  Expressions -> SOLUTION: (48a+b)-(-22a-6b) how do i do this? do I take it like this: (48a+22a)-(b-6b) and how does it become 70a+9b?      Log On


   

Question 373779: (48a+b)-(-22a-6b) how do i do this? do I take it like this: (48a+22a)-(b-6b) and how does it become 70a+9b?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the distributive property for the second term,
%2848a%2Bb%29-%28-22a-6b%29=%2848a%2Bb%29%2B%28-1%29%28-22a-6b%29
%2848a%2Bb%29-%28-22a-6b%29=%2848a%2Bb%29%2B%28-22a%28-1%29-6b%28-1%29%29
%2848a%2Bb%29-%28-22a-6b%29=%2848a%2Bb%29%2B%2822a%2B6b%29
%2848a%2Bb%29-%28-22a-6b%29=%2848a%2B22a%29%2B%28b%2B6b%29
highlight%28%2848a%2Bb%29-%28-22a-6b%29=70a%2B7b%29