Simplify the product using a table. (5h +4)(3h+6)

We can create a table to simplify the product of (5h+4)(3h+6):

| | 5h | 4 |
|------|-----|----|
| 3h | 15h | 12 |
| 6 | 30 | 24 |

Now, we add up all the values:

15h + 12 + 30h + 24

Combine like terms:

45h + 36

Therefore, the simplified product of (5h+4)(3h+6) is 45h + 36.