Question

What is the simplified form of (3x + 2)(4x - 3)? Use a table.

Answer 1

To simplify the expression (3x + 2)(4x - 3) using a table, we can create a table that represents the multiplication of each term in the first bracket by each term in the second bracket:

| | 4x | -3 |
|--------------|--------------|-----|
| 3x | 12x^2 | -9x |
| 2 | 8x | -6 |

Next, we can combine like terms within the table by adding all the similar terms together:

12x^2 - 9x + 8x - 6

Simplifying this expression further, we can combine the middle terms:

12x^2 - x - 6

Therefore, the simplified form of (3x + 2)(4x - 3) is 12x^2 - x - 6.