Question

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

Explanation:

Step1: Apply the distributive property (FOIL method)

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

Step2: Combine like terms

Combine the \(s\) terms: \(-8s + 12s = 4s\)
So the simplified expression is \(6s^2 + 4s - 16\)

Answer:

\(6s^2 + 4s - 16\)