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

1 Answer
Jan 26, 2017

Answer:

See the entire solution process below:

Explanation:

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#