Question

How do you multiply `-1/5(10a - 25b)`?

Answer 1

`= -2a + 5b`

Explanation:

`- 1 /5 ( 10a - 25b)`

`color(blue)( - 1 /5) * ( 10a - 25b)`

`= color(blue)(( - 1 /5)) * ( 10a) + ( color(blue)( - 1 /5)) (- 25b)`

`= color(blue)(( - 1 /cancel5)) * ( cancel10a) + ( color(blue)( - 1 /cancel5)) (- cancel25b)`

`= -2a + 5b`