Question

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

Answer 1

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`