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

Question

(1 point)
Responses

12x2 + 18x + 6
12 x 2 + 18 x + 6

12x2 + x – 6
12 x 2 + x – 6

12x2 + 18x – 6
12 x 2 + 18 x – 6

12x2 – x – 6

Answer 1

To find the simplified form of (3x + 2)(4x – 3), we can use a table to multiply each term.

First, let's write out the terms in the first column of the table:

3x 4x
2 -3

Next, multiply each term in the first column with each term in the second column:

3x * 4x = 12x^2
3x * -3 = -9x
2 * 4x = 8x
2 * -3 = -6

Now, add the like terms:

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

Simplifying further, we combine the like terms:

12x^2 - x + (-6)

The simplified form is 12x^2 - x - 6.