Question

find the product. simplify your answer. (4v + 2)(3v - 4)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(4v \times 3v = 12v^2\)
Multiply the Outer terms: \(4v \times (-4) = -16v\)
Multiply the Inner terms: \(2 \times 3v = 6v\)
Multiply the Last terms: \(2 \times (-4) = -8\)
So we have \(12v^2 - 16v + 6v - 8\)

Step2: Combine like terms

Combine the \(v\) terms: \(-16v + 6v = -10v\)
So the simplified expression is \(12v^2 - 10v - 8\)

Answer:

\(12v^2 - 10v - 8\)