Question

How do you simplify `5( 3+ 6k )`?

Answer 1

See a solution process below:

Explanation:

Multiply each term within the parenthesis by the term outside the parenthesis:

`color(red)(5)(3 + 6k) =>`

`(color(red)(5) xx 3) + (color(red)(5) xx 6k) =>`

`15 + 30k`

Answer 2

`5(3+6k)`

Use the distributive property

`(5)(3)+(5)(6k)`

`15 + 30k`

Answer 3

`15+30k`

Explanation:

What this is stating is that you 5 of `(3+6k)`

The shortcut way is to multiply everything inside the brackets by 5.

The long way of doing this is:

`color(white)(1)3+color(white)(3)6k`
`color(white)(1)3+color(white)(3)6k`
`color(white)(1)3+color(white)(3)6k`
`color(white)(1)3+color(white)(3)6k`
`ul(color(white)(1)3+color(white)(3)6k larr" Add")`
`15+30k`