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 set up a table with the two binomials, distribute the terms, and then combine like terms.

Here is the table:

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

Now, we can combine like terms from each row to simplify the expression:

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

Combine like terms:

-12x^2 - x - 6

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