Question

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

Answers

Answered by GPT-4o mini
To multiply the expressions \((-5x - 8)(3x + 2)\), we can use the distributive property (also known as the FOIL method for binomials). Let's do this step by step:

1. **Distribute \(-5x\)** across \((3x + 2)\):
\[
-5x \cdot 3x + -5x \cdot 2 = -15x^2 - 10x
\]

2. **Distribute \(-8\)** across \((3x + 2)\):
\[
-8 \cdot 3x + -8 \cdot 2 = -24x - 16
\]

3. **Combine all the terms together**:
\[
-15x^2 - 10x - 24x - 16
\]

4. **Combine the like terms** \((-10x - 24x)\):
\[
-15x^2 - 34x - 16
\]

Thus, the simplified result of the multiplication \((-5x - 8)(3x + 2)\) is:
\[
\boxed{-15x^2 - 34x - 16}
\]
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