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