Question

How do you simplify `1/3n(-6+27m-51p)`?

Answer 1

`-2n+9mn-17np`

Explanation:

Each term in the bracket is `color(blue)"multiplied"` by `color(red)(1/3n=n/3)`

`(color(red)(n/cancel(3)^1)xx-cancel(6)^2)+(color(red)(n/cancel(3)^1)xxcancel(27)^9m)`

`+(color(red)(n/cancel(3)^1)xx-cancel(51)^(17)p)`

`=-2n+9nm-17np`