How do you factor 5(a-b) + c(a-b)5(ab)+c(ab)?

1 Answer
Jan 26, 2017

See the entire solution process below:

Explanation:

First, expand the terms in parenthesis:

color(red)(5)(a - b) + color(blue)(c)(a - b) ->5(ab)+c(ab)

(color(red)(5) xx a) - (color(red)(5) xx b) + (color(blue)(c) xx a) - (color(blue)(c) xx b) ->(5×a)(5×b)+(c×a)(c×b)

5a - 5b + ca - cb5a5b+cacb

Next, combine like terms:

5a + ca - 5b - cb5a+ca5bcb