Question

multiply. (v + 8)(v - 4) simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(v \times v = v^2\)
Multiply the Outer terms: \(v \times (-4) = -4v\)
Multiply the Inner terms: \(8 \times v = 8v\)
Multiply the Last terms: \(8 \times (-4) = -32\)
So, \((v + 8)(v - 4)=v^2-4v + 8v-32\)

Step2: Combine like terms

Combine the middle terms \(-4v\) and \(8v\): \(-4v + 8v = 4v\)
So the simplified form is \(v^2 + 4v-32\)

Answer:

\(v^2 + 4v - 32\)