Question

How do you multiply `2x + 3y + 2(x - y) - 3x`?

Answer 1

See the entire solution process below:

Explanation:

First, multiply each term inside the parenthesis by the term outside the parenthesis:

`2x + 3y + color(red)(2)(x - y) - 3x -> 2x + 3y + (color(red)(2) xx x) - (color(red)(2) xx y) - 3x -> 2x + 3y + 2x - 2y - 3x`

Next, group like terms:

`2x + 2x - 3x + 3y - 2y`

Now, combine like terms:

`(2 + 2 - 3)x + (3 - 2)y`

`1x + 1y`

`x + y`