Question

Multiply.
(-5x-8)(3X+2)
Simplify your answer.

Answer 1

To multiply the expressions \((-5x - 8)(3x + 2)\), we can use the distributive property (also known as the FOIL method for binomials).

1. Multiply the first terms:
\[
-5x \cdot 3x = -15x^2
\]

2. Multiply the outer terms:
\[
-5x \cdot 2 = -10x
\]

3. Multiply the inner terms:
\[
-8 \cdot 3x = -24x
\]

4. Multiply the last terms:
\[
-8 \cdot 2 = -16
\]

Now, combine all the results:
\[
-15x^2 - 10x - 24x - 16
\]

Combine the like terms:
\[
-15x^2 - 34x - 16
\]

Thus, the simplified expression is:
\[
\boxed{-15x^2 - 34x - 16}
\]