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

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Answer 1 · 2017-04-10T02:07:23

See the entire solution process below:

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#