Question

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

Answer 1

First, create a table with the two binomials:

| | 5h | 4 |
|---|----|---|
| 3h|15h²|12h|
| 6 |20h | 24|

Now, add the terms in the table to simplify the product:

5h * 3h = 15h²
5h * 6 = 30h
4 * 3h = 12h
4 * 6 = 24

Combine like terms:

15h² + 30h + 12h + 24

Simplify further:

15h² + 42h + 24

Therefore, the simplified product is 15h² + 42h + 24.