Question

How do you simplify `5h (7-d) + 11hd`?

Answer 1

`35h + 6hd`

Explanation:

`5h(7-d) + 11hd`

To simplify this, we first use the distributive property (shown below) to expand/simplify `5h(7-d)`:

Following this image, we know that:
`color(blue)(5h(7-d) = (5h * 7) + (5h * -d) = 35h - 5hd)`

Now put it back into the expression:
`35h - 5hd + 11hd`

We can still combine the like terms `-5hd` and `11hd`:
`35h + 6hd`

Hope this helps!