Multiply.

Question

(6x + 2)(4x - 3)

(1 point)
Responses

24x2−6
24 x squared minus 6

24x^2 −10x − 6

24x2−18x − 6
24x^2−18x − 6

10x^2−12x −1

Answer 1

To multiply the expression \((6x + 2)(4x - 3)\), we can use the distributive property (also known as the FOIL method for binomials).

1. First: \(6x \times 4x = 24x^2\)
2. Outer: \(6x \times -3 = -18x\)
3. Inner: \(2 \times 4x = 8x\)
4. Last: \(2 \times -3 = -6\)

Now, combine the results:

\[ 24x^2 - 18x + 8x - 6 \]

Combine the \(x\) terms:

\[ 24x^2 - 10x - 6 \]

So the final answer is:

24x^2 − 10x − 6