Question

\\((v - 1)(v + 8)\\)

Explanation:

Identify the given expression

We are given the product of two binomials:

$$ (v - 1)(v + 8) $$

Apply the FOIL method

To expand this expression, we multiply each term in the first binomial by each term in the second binomial.

• First terms: \(v \cdot v = v^2\)
• Outer terms: \(v \cdot 8 = 8v\)
• Inner terms: \(-1 \cdot v = -v\)
• Last terms: \(-1 \cdot 8 = -8\)

Combine like terms

Now, we add the terms together and combine the linear terms:

$$ v^2 + 8v - v - 8 $$

$$ v^2 + 7v - 8 $$

Answer:

\(v^2 + 7v - 8\)