Question

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

Answer 1

`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`