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

Question

1185 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-26T15:03:57

See the entire solution process below:

First, expand the terms in parenthesis:

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

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

$5a - 5b + ca - cb$

Next, combine like terms:

$5a + ca - 5b - cb$

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