Multiply.

Question

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

(1 point)
Responses

24x2−6
24 x squared minus 6

24x2 −10x − 6
24x2 −10x − 6

24x2−18x − 6
24x2−18x − 6

10x2−12x −1

Answer 1

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

1. Multiply the first terms: \[6x \cdot 4x = 24x^2\]

2. Multiply the outer terms: \[6x \cdot (-3) = -18x\]

3. Multiply the inner terms: \[2 \cdot 4x = 8x\]

4. Multiply the last terms: \[2 \cdot (-3) = -6\]

Now, combine all these results together: \[ 24x^2 - 18x + 8x - 6 \]

Combine the like terms: \[ 24x^2 - 10x - 6 \]

So, the result is: \[ \boxed{24x^2 - 10x - 6} \]