Expand the expression 2(r-4)+5(r+2). Express your answer in simplest form?

1 Answer

Answer:

#7r + 2#

Explanation:

A bracket indicates multiplying the separate items inside the brackets (those separated by a #+# or #-#) with the number in front of the brackets.

Therefore, in the first set of brackets, you must multiply #r# by #2# #(2r)#, #-4# by #2# #(-8)#. In the second set of brackets, you must multiply #r# by #5# #(5r)# and #2# by #5# #(10)#.

#2r - 8 + 5r + 10#

Then, you group like terms (the #r#'s together) and the constant numbers (#10# and #-8#) together;

#=> 7r + 2#